diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/logcdf/README.md b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/logcdf/README.md
new file mode 100644
index 000000000000..031ab904e05e
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/logcdf/README.md
@@ -0,0 +1,189 @@
+
+
+# Logarithm of Cumulative Distribution Function
+
+> [Burr (type III)][burr-distribution] distribution logarithm of [cumulative distribution function][cdf].
+
+
+
+The [cumulative distribution function][cdf] for a [burr][burr-distribution] random variable is
+
+
+
+```math
+F(x; alpha, beta) = log(1 + x^{-alpha})*{-beta}
+```
+
+
+
+where `alpha > 0` is the first shape parameter and `beta > 0` is the second shape parameter.
+
+
+
+
+
+
+
+## Usage
+
+```javascript
+var logcdf = require( '@stdlib/stats/base/dists/burr-type3/logcdf' );
+```
+
+#### logcdf( x, alpha, beta )
+
+Evaluates the natural logarithm of the [cumulative distribution function][cdf] (CDF) for a [burr][burr-distribution] distribution with parameters `alpha` (first shape parameter) and `beta` (second shape parameter).
+
+```javascript
+var y = logcdf( 0.1, 1.0, 1.0 );
+// returns ~-2.398
+
+y = logcdf( 0.2, 2.0, 2.0 );
+// returns ~-6.516
+
+y = logcdf( 0.3, 3.0, 3.0 );
+// returns ~-10.916
+
+y = logcdf( 0.4, 4.0, 4.0 );
+// returns ~-14.76
+
+y = logcdf( 0.5, 1.0, 1.0 );
+// returns ~-1.099
+
+y = logcdf( 0.5, 2.0, 4.0 );
+// returns ~-6.438
+
+y = logcdf( 0.8, 0.5, 0.5 );
+// returns ~-0.375
+
+y = logcdf( -Infinity, 4.0, 2.0 );
+// returns NaN
+```
+
+If provided `NaN` as any argument, the function returns `NaN`.
+
+```javascript
+var y = logcdf( NaN, 1.0, 1.0 );
+// returns NaN
+
+y = logcdf( 0.0, NaN, 1.0 );
+// returns NaN
+
+y = logcdf( 0.0, 1.0, NaN );
+// returns NaN
+```
+
+If provided `alpha <= 0`, the function returns `NaN`.
+
+```javascript
+var y = logcdf( 2.0, -1.0, 0.5 );
+// returns NaN
+
+y = logcdf( 2.0, 0.0, 0.5 );
+// returns NaN
+```
+
+If provided `beta <= 0`, the function returns `NaN`.
+
+```javascript
+var y = logcdf( 2.0, 0.5, -1.0 );
+// returns NaN
+
+y = logcdf( 2.0, 0.5, 0.0 );
+// returns NaN
+```
+
+#### logcdf.factory( alpha, beta )
+
+Returns a function for evaluating the natural logarithm of the [cumulative distribution function][cdf] for a [burr][burr-distribution] distribution with parameters `alpha` (first shape parameter) and `beta` (second shape parameter).
+
+```javascript
+var mylogcdf = logcdf.factory( 0.5, 0.5 );
+
+var y = mylogcdf( 0.8 );
+// returns ~-0.375
+
+y = mylogcdf( 0.3 );
+// returns ~-0.519
+```
+
+
+
+
+
+
+
+## Notes
+
+- In virtually all cases, using the `logpdf` or `logcdf` functions is preferable to manually computing the logarithm of the `pdf` or `cdf`, respectively, since the latter is prone to overflow and underflow.
+
+
+
+
+
+
+
+## Examples
+
+
+
+```javascript
+var logcdf = require( '@stdlib/stats/base/dists/burr-type3/logcdf' );
+var EPS = require( '@stdlib/constants/float64/eps' );
+var linspace = require( '@stdlib/array/linspace' );
+
+var alpha = linspace( EPS, 10.0, 10 );
+var beta = linspace( EPS, 10.0, 10 );
+var x = linspace( EPS, 1.0, 10 );
+var y;
+var i;
+
+for ( i = 0; i < 10; i++ ) {
+ y = logcdf( x[i], alpha[i], beta[i] );
+ console.log( 'x: %d, α: %d, β: %d, ln(F(x;α,β)): %d', x[i].toFixed( 4 ), alpha[i].toFixed( 4 ), beta[i].toFixed( 4 ), y.toFixed( 4 ) );
+}
+```
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+[burr-distribution]: https://en.wikipedia.org/wiki/Burr_distribution
+
+[cdf]: https://en.wikipedia.org/wiki/Cumulative_distribution_function
+
+
+
+
diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/logcdf/benchmark/benchmark.js b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/logcdf/benchmark/benchmark.js
new file mode 100644
index 000000000000..9abb585c4ec0
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/logcdf/benchmark/benchmark.js
@@ -0,0 +1,85 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2025 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var bench = require( '@stdlib/bench' );
+var uniform = require( '@stdlib/random/array/uniform' );
+var isnan = require( '@stdlib/math/base/assert/is-nan' );
+var EPS = require( '@stdlib/constants/float64/eps' );
+var pkg = require( './../package.json' ).name;
+var logcdf = require( './../lib' );
+
+
+// MAIN //
+
+bench( pkg, function benchmark( b ) {
+ var alpha;
+ var beta;
+ var len;
+ var x;
+ var y;
+ var i;
+
+ len = 100;
+ x = uniform( len, EPS, 10.0 );
+ alpha = uniform( len, EPS, 100.0 );
+ beta = uniform( len, EPS, 100.0 );
+
+ b.tic();
+ for ( i = 0; i < b.iterations; i++ ) {
+ y = logcdf( x[ i % len ], alpha[ i % len ], beta[ i % len ] );
+ if ( isnan( y ) ) {
+ b.fail( 'should not return NaN' );
+ }
+ }
+ b.toc();
+ if ( isnan( y ) ) {
+ b.fail( 'should not return NaN' );
+ }
+ b.pass( 'benchmark finished' );
+ b.end();
+});
+
+bench( pkg+':factory', function benchmark( b ) {
+ var mylogcdf;
+ var len;
+ var x;
+ var y;
+ var i;
+
+ len = 100;
+ x = uniform( len, EPS, 10.0 );
+ mylogcdf = logcdf.factory( 5.0, 6.0 );
+
+ b.tic();
+ for ( i = 0; i < b.iterations; i++ ) {
+ y = mylogcdf( x[ i % len ] );
+ if ( isnan( y ) ) {
+ b.fail( 'should not return NaN' );
+ }
+ }
+ b.toc();
+ if ( isnan( y ) ) {
+ b.fail( 'should not return NaN' );
+ }
+ b.pass( 'benchmark finished' );
+ b.end();
+});
diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/logcdf/benchmark/python/benchmark.scipy.py b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/logcdf/benchmark/python/benchmark.scipy.py
new file mode 100644
index 000000000000..15923c1a5bb6
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/logcdf/benchmark/python/benchmark.scipy.py
@@ -0,0 +1,97 @@
+#!/usr/bin/env python
+#
+# @license Apache-2.0
+#
+# Copyright (c) 2025 The Stdlib Authors.
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+# http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+
+"""Benchmark scipy.stats.burr.logcdf."""
+
+from __future__ import print_function
+import timeit
+
+NAME = "burr:logcdf"
+REPEATS = 3
+ITERATIONS = 1000
+
+
+def print_version():
+ """Print the TAP version."""
+ print("TAP version 13")
+
+
+def print_summary(total, passing):
+ """Print the benchmark summary.
+
+ # Arguments
+
+ * `total`: total number of tests
+ * `passing`: number of passing tests
+
+ """
+ print("#")
+ print("1.." + str(total)) # TAP plan
+ print("# total " + str(total))
+ print("# pass " + str(passing))
+ print("#")
+ print("# ok")
+
+
+def print_results(elapsed):
+ """Print benchmark results.
+
+ # Arguments
+
+ * `elapsed`: elapsed time (in seconds)
+
+ # Examples
+
+ ``` python
+ python> print_results(0.131009101868)
+ ```
+ """
+ rate = ITERATIONS / elapsed
+
+ print(" ---")
+ print(" iterations: " + str(ITERATIONS))
+ print(" elapsed: " + str(elapsed))
+ print(" rate: " + str(rate))
+ print(" ...")
+
+
+def benchmark():
+ """Run the benchmark and print benchmark results."""
+ setup = "from scipy.stats import burr; from random import random;"
+ stmt = "y = burr.logcdf(random(), 100.56789, 55.54321)"
+
+ t = timeit.Timer(stmt, setup=setup)
+
+ print_version()
+
+ for i in range(REPEATS):
+ print("# python::" + NAME)
+ elapsed = t.timeit(number=ITERATIONS)
+ print_results(elapsed)
+ print("ok " + str(i+1) + " benchmark finished")
+
+ print_summary(REPEATS, REPEATS)
+
+
+def main():
+ """Run the benchmark."""
+ benchmark()
+
+
+if __name__ == "__main__":
+ main()
diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/logcdf/docs/repl.txt b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/logcdf/docs/repl.txt
new file mode 100644
index 000000000000..7c82b03420fc
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/logcdf/docs/repl.txt
@@ -0,0 +1,81 @@
+
+{{alias}}( x, α, β )
+ Evaluates the natural logarithm of the cumulative distribution function
+ (CDF) for a Burr (type III) distribution with first shape parameter
+ `α` and second shape parameter `β` at a value `x`.
+
+ If provided `NaN` as any argument, the function returns `NaN`.
+
+ If `α <= 0` or `β <= 0`, the function returns `NaN`.
+
+ Parameters
+ ----------
+ x: number
+ Input value.
+
+ α: number
+ First shape parameter.
+
+ β: number
+ Second shape parameter.
+
+ Returns
+ -------
+ out: number
+ Evaluated logCDF.
+
+ Examples
+ --------
+ > var y = {{alias}}( 0.1, 1.0, 1.0 )
+ ~-2.398
+ > y = {{alias}}( 0.2, 2.0, 2.0 )
+ ~-6.516
+ > y = {{alias}}( 0.3, 3.0, 3.0 )
+ ~-10.916
+ > y = {{alias}}( 0.4, 4.0, 4.0 )
+ ~-14.76
+
+ > y = {{alias}}( -0.5, 4.0, 2.0 )
+ NaN
+ > y = {{alias}}( 2.0, -1.0, 0.5 )
+ NaN
+ > y = {{alias}}( 2.0, 0.5, -1.0 )
+ NaN
+
+ > y = {{alias}}( NaN, 1.0, 1.0 )
+ NaN
+ > y = {{alias}}( 0.0, NaN, 1.0 )
+ NaN
+ > y = {{alias}}( 0.0, 1.0, NaN )
+ NaN
+
+
+{{alias}}.factory( α, β )
+ Returns a function for evaluating the natural logarithm of the cumulative
+ distribution function (CDF) of a Burr (type III) distribution with
+ first shape parameter `α` and second shape parameter `β`.
+
+ Parameters
+ ----------
+ α: number
+ First shape parameter.
+
+ β: number
+ Second shape parameter.
+
+ Returns
+ -------
+ logcdf: Function
+ Logarithm of cumulative distribution function (CDF).
+
+ Examples
+ --------
+ > var mylogcdf = {{alias}}.factory( 0.5, 0.5 );
+ > var y = mylogcdf( 0.8 )
+ ~-0.375
+ > y = mylogcdf( 0.3 )
+ ~-0.519
+
+ See Also
+ --------
+
diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/logcdf/docs/types/index.d.ts b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/logcdf/docs/types/index.d.ts
new file mode 100644
index 000000000000..b4c6d5f26c6a
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/logcdf/docs/types/index.d.ts
@@ -0,0 +1,130 @@
+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2025 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+// TypeScript Version: 4.1
+
+/**
+* Evaluates the natural logarithm of the cumulative distribution function (CDF) for a Burr (type III) distribution.
+*
+* @param x - input value
+* @returns evaluated logCDF
+*/
+type Unary = ( x: number ) => number;
+
+/**
+* Interface for the logarithm of the cumulative distribution function (CDF) of a Burr (type III) distribution.
+*/
+interface LogCDF {
+ /**
+ * Evaluates the natural logarithm of the cumulative distribution function (CDF) for a Burr (type III) distribution with first shape parameter `alpha` and second shape parameter `beta` at a value `x`.
+ *
+ * ## Notes
+ *
+ * - If `alpha <= 0` or `beta <= 0`, the function returns `NaN`.
+ *
+ * @param x - input value
+ * @param alpha - first shape parameter
+ * @param beta - second shape parameter
+ * @returns evaluated logCDF
+ *
+ * @example
+ * var y = logcdf( 0.1, 1.0, 1.0 );
+ * // returns ~-2.398
+ *
+ * @example
+ * var y = logcdf( 0.2, 2.0, 2.0 );
+ * // returns ~-6.516
+ *
+ * @example
+ * var y = logcdf( 0.3, 3.0, 3.0 );
+ * // returns ~-10.916
+ *
+ * @example
+ * var y = logcdf( 0.4, 4.0, 4.0 );
+ * // returns ~-14.76
+ *
+ * @example
+ * var y = logcdf( -0.5, 4.0, 2.0 );
+ * // returns NaN
+ *
+ * @example
+ * var y = logcdf( 2.0, -1.0, 0.5 );
+ * // returns NaN
+ *
+ * @example
+ * var y = logcdf( 2.0, 0.5, -1.0 );
+ * // returns NaN
+ *
+ * @example
+ * var y = logcdf( NaN, 1.0, 1.0 );
+ * // returns NaN
+ *
+ * @example
+ * var y = logcdf( 0.0, NaN, 1.0 );
+ * // returns NaN
+ *
+ * @example
+ * var y = logcdf( 0.0, 1.0, NaN );
+ * // returns NaN
+ */
+ ( x: number, alpha: number, beta: number ): number;
+
+ /**
+ * Returns a function for evaluating the natural logarithm of the cumulative distribution function (CDF) for a Burr (type III) distribution with first shape parameter `alpha` and second shape parameter `beta`.
+ *
+ * @param alpha - first shape parameter
+ * @param beta - second shape parameter
+ * @returns logCDF
+ *
+ * @example
+ * var mylogcdf = logcdf.factory( 0.5, 0.5 );
+ *
+ * var y = mylogcdf( 0.8 );
+ * // returns ~-0.375
+ *
+ * y = mylogcdf( 0.3 );
+ * // returns ~-0.519
+ */
+ factory( alpha: number, beta: number ): Unary;
+}
+
+/**
+* Burr (type III) distribution logarithm of cumulative distribution function (CDF).
+*
+* @param x - input value
+* @param alpha - first shape parameter
+* @param beta - second shape parameter
+* @returns evaluated logCDF
+*
+* @example
+* var y = logcdf( 0.4, 4.0, 4.0 );
+* // returns ~-14.76
+*
+* var mylogcdf = logcdf.factory( 0.5, 0.5 );
+* y = mylogcdf( 0.8 );
+* // returns ~-0.375
+*
+* y = mylogcdf( 0.3 );
+* // returns ~-0.519
+*/
+declare var logCDF: LogCDF;
+
+
+// EXPORTS //
+
+export = logCDF;
diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/logcdf/docs/types/test.ts b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/logcdf/docs/types/test.ts
new file mode 100644
index 000000000000..bbe21289b015
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/logcdf/docs/types/test.ts
@@ -0,0 +1,119 @@
+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2025 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+import logcdf = require( './index' );
+
+
+// TESTS //
+
+// The function returns a number...
+{
+ logcdf( 2, 2, 4 ); // $ExpectType number
+ logcdf( 1, 2, 8 ); // $ExpectType number
+}
+
+// The compiler throws an error if the function is provided values other than three numbers...
+{
+ logcdf( true, 3, 6 ); // $ExpectError
+ logcdf( false, 2, 4 ); // $ExpectError
+ logcdf( '5', 1, 2 ); // $ExpectError
+ logcdf( [], 1, 2 ); // $ExpectError
+ logcdf( {}, 2, 4 ); // $ExpectError
+ logcdf( ( x: number ): number => x, 2, 4 ); // $ExpectError
+
+ logcdf( 9, true, 12 ); // $ExpectError
+ logcdf( 9, false, 12 ); // $ExpectError
+ logcdf( 5, '5', 10 ); // $ExpectError
+ logcdf( 8, [], 16 ); // $ExpectError
+ logcdf( 9, {}, 18 ); // $ExpectError
+ logcdf( 8, ( x: number ): number => x, 16 ); // $ExpectError
+
+ logcdf( 9, 5, true ); // $ExpectError
+ logcdf( 9, 5, false ); // $ExpectError
+ logcdf( 5, 2, '5' ); // $ExpectError
+ logcdf( 8, 4, [] ); // $ExpectError
+ logcdf( 9, 4, {} ); // $ExpectError
+ logcdf( 8, 5, ( x: number ): number => x ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided an unsupported number of arguments...
+{
+ logcdf(); // $ExpectError
+ logcdf( 2 ); // $ExpectError
+ logcdf( 2, 0 ); // $ExpectError
+ logcdf( 2, 0, 4, 1 ); // $ExpectError
+}
+
+// Attached to main export is a `factory` method which returns a function...
+{
+ logcdf.factory( 3, 4 ); // $ExpectType Unary
+}
+
+// The `factory` method returns a function which returns a number...
+{
+ const fcn = logcdf.factory( 3, 4 );
+ fcn( 2 ); // $ExpectType number
+}
+
+// The compiler throws an error if the function returned by the `factory` method is provided invalid arguments...
+{
+ const fcn = logcdf.factory( 3, 4 );
+ fcn( true ); // $ExpectError
+ fcn( false ); // $ExpectError
+ fcn( '5' ); // $ExpectError
+ fcn( [] ); // $ExpectError
+ fcn( {} ); // $ExpectError
+ fcn( ( x: number ): number => x ); // $ExpectError
+}
+
+// The compiler throws an error if the function returned by the `factory` method is provided an unsupported number of arguments...
+{
+ const fcn = logcdf.factory( 3, 4 );
+ fcn(); // $ExpectError
+ fcn( 2, 0 ); // $ExpectError
+ fcn( 2, 0, 1 ); // $ExpectError
+}
+
+// The compiler throws an error if the `factory` method is provided values other than two numbers...
+{
+ logcdf.factory( true, 3 ); // $ExpectError
+ logcdf.factory( false, 2 ); // $ExpectError
+ logcdf.factory( '5', 1 ); // $ExpectError
+ logcdf.factory( [], 1 ); // $ExpectError
+ logcdf.factory( {}, 2 ); // $ExpectError
+ logcdf.factory( ( x: number ): number => x, 2 ); // $ExpectError
+
+ logcdf.factory( 9, true ); // $ExpectError
+ logcdf.factory( 9, false ); // $ExpectError
+ logcdf.factory( 5, '5' ); // $ExpectError
+ logcdf.factory( 8, [] ); // $ExpectError
+ logcdf.factory( 9, {} ); // $ExpectError
+ logcdf.factory( 8, ( x: number ): number => x ); // $ExpectError
+
+ logcdf.factory( [], true ); // $ExpectError
+ logcdf.factory( {}, false ); // $ExpectError
+ logcdf.factory( false, '5' ); // $ExpectError
+ logcdf.factory( {}, [] ); // $ExpectError
+ logcdf.factory( '5', ( x: number ): number => x ); // $ExpectError
+}
+
+// The compiler throws an error if the `factory` method is provided an unsupported number of arguments...
+{
+ logcdf.factory( 0 ); // $ExpectError
+ logcdf.factory( 0, 4, 8 ); // $ExpectError
+}
diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/logcdf/examples/index.js b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/logcdf/examples/index.js
new file mode 100644
index 000000000000..a1ea5ceb3464
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/logcdf/examples/index.js
@@ -0,0 +1,34 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2025 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+var linspace = require( '@stdlib/array/linspace' );
+var EPS = require( '@stdlib/constants/float64/eps' );
+var logcdf = require( './../lib' );
+
+var alpha = linspace( EPS, 10.0, 10 );
+var beta = linspace( EPS, 10.0, 10 );
+var x = linspace( EPS, 1.0, 10 );
+var y;
+var i;
+
+for ( i = 0; i < 10; i++ ) {
+ y = logcdf( x[i], alpha[i], beta[i] );
+ console.log( 'x: %d, α: %d, β: %d, ln(F(x;α,β)): %d', x[i].toFixed( 4 ), alpha[i].toFixed( 4 ), beta[i].toFixed( 4 ), y.toFixed( 4 ) );
+}
diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/logcdf/lib/factory.js b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/logcdf/lib/factory.js
new file mode 100644
index 000000000000..1460a981c6b5
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/logcdf/lib/factory.js
@@ -0,0 +1,80 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2025 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var constantFunction = require( '@stdlib/utils/constant-function' );
+var pow = require( '@stdlib/math/base/special/pow' );
+var log1p = require( '@stdlib/math/base/special/log1p' );
+var isnan = require( '@stdlib/math/base/assert/is-nan' );
+
+
+// MAIN //
+
+/**
+* Returns a function for evaluating the natural logarithm of the cumulative distribution function (CDF) for a Burr (type III) distribution with first shape parameter `alpha` and second shape parameter `beta`.
+*
+* @param {PositiveNumber} alpha - first shape parameter
+* @param {PositiveNumber} beta - second shape parameter
+* @returns {Function} logCDF
+*
+* @example
+* var logcdf = factory( 0.5, 0.5 );
+*
+* var y = logcdf( 0.8 );
+* // returns ~-0.375
+*
+* y = logcdf( 0.3 );
+* // returns ~-0.519
+*/
+function factory( alpha, beta ) {
+ if (
+ isnan( alpha ) ||
+ isnan( beta ) ||
+ alpha <= 0.0 ||
+ beta <= 0.0
+ ) {
+ return constantFunction( NaN );
+ }
+ return logcdf;
+
+ /**
+ * Evaluates the natural logarithm of the cumulative distribution function (CDF) for a Burr (type III) distribution.
+ *
+ * @private
+ * @param {number} x - input value
+ * @returns {number} evaluated logCDF
+ *
+ * @example
+ * var y = logcdf( 2.0 );
+ * // returns
+ */
+ function logcdf( x ) {
+ if ( isnan( x ) || x <= 0.0 ) {
+ return NaN;
+ }
+ return log1p( pow( x, -alpha )) * ( -beta );
+ }
+}
+
+
+// EXPORTS //
+
+module.exports = factory;
diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/logcdf/lib/index.js b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/logcdf/lib/index.js
new file mode 100644
index 000000000000..0403fffb89fe
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/logcdf/lib/index.js
@@ -0,0 +1,61 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2025 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+/**
+* Evaluate the natural logarithm of the cumulative distribution function (CDF) for a Burr (type III) distribution.
+*
+* @module @stdlib/stats/base/dists/burr-type3/logcdf
+*
+* @example
+* var logcdf = require( '@stdlib/stats/base/dists/burr-type3/logcdf' );
+*
+* var y = logcdf( 0.5, 1.0, 1.0 );
+* // returns ~-1.099
+*
+* y = logcdf( 0.5, 2.0, 4.0 );
+* // returns ~-6.438
+*
+* @example
+* var factory = require( '@stdlib/stats/base/dists/burr-type3/logcdf' ).factory;
+*
+* var logcdf = factory( 0.5, 0.5 );
+*
+* var y = logcdf( 0.8 );
+* // returns ~-0.375
+*
+* y = logcdf( 0.3 );
+* // returns ~-0.519
+*/
+
+// MODULES //
+
+var setReadOnly = require( '@stdlib/utils/define-nonenumerable-read-only-property' );
+var main = require( './main.js' );
+var factory = require( './factory.js' );
+
+
+// MAIN //
+
+setReadOnly( main, 'factory', factory );
+
+
+// EXPORTS //
+
+module.exports = main;
diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/logcdf/lib/main.js b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/logcdf/lib/main.js
new file mode 100644
index 000000000000..5186ca9148a4
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/logcdf/lib/main.js
@@ -0,0 +1,95 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2025 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var pow = require( '@stdlib/math/base/special/pow' );
+var log1p = require( '@stdlib/math/base/special/log1p' );
+var isnan = require( '@stdlib/math/base/assert/is-nan' );
+
+
+// MAIN //
+
+/**
+* Evaluates the natural logarithm of the cumulative distribution function (CDF) for a Burr (type III) distribution with first shape parameter `alpha` and second shape parameter `beta` at a value `x`.
+*
+* @param {number} x - input value
+* @param {PositiveNumber} alpha - first shape parameter
+* @param {PositiveNumber} beta - second shape parameter
+* @returns {number} evaluated logCDF
+*
+* @example
+* var y = logcdf( 0.1, 1.0, 1.0 );
+* // returns ~-2.398
+*
+* @example
+* var y = logcdf( 0.2, 2.0, 2.0 );
+* // returns ~-6.516
+*
+* @example
+* var y = logcdf( 0.3, 3.0, 3.0 );
+* // returns ~-10.916
+*
+* @example
+* var y = logcdf( 0.4, 4.0, 4.0 );
+* // returns ~-14.76
+*
+* @example
+* var y = logcdf( -0.5, 4.0, 2.0 );
+* // returns NaN
+*
+* @example
+* var y = logcdf( 2.0, -1.0, 0.5 );
+* // returns NaN
+*
+* @example
+* var y = logcdf( 2.0, 0.5, -1.0 );
+* // returns NaN
+*
+* @example
+* var y = logcdf( NaN, 1.0, 1.0 );
+* // returns NaN
+*
+* @example
+* var y = logcdf( 0.0, NaN, 1.0 );
+* // returns NaN
+*
+* @example
+* var y = logcdf( 0.0, 1.0, NaN );
+* // returns NaN
+*/
+function logcdf( x, alpha, beta ) {
+ if (
+ isnan( x ) ||
+ isnan( alpha ) ||
+ isnan( beta ) ||
+ alpha <= 0.0 ||
+ beta <= 0.0 ||
+ x <= 0.0
+ ) {
+ return NaN;
+ }
+ return log1p( pow( x, -alpha )) * ( -beta );
+}
+
+
+// EXPORTS //
+
+module.exports = logcdf;
diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/logcdf/package.json b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/logcdf/package.json
new file mode 100644
index 000000000000..034d2b7172cb
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/logcdf/package.json
@@ -0,0 +1,72 @@
+{
+ "name": "@stdlib/stats/base/dists/burr-type3/logcdf",
+ "version": "0.0.0",
+ "description": "Burr (type III) distribution logarithm of cumulative distribution function (CDF).",
+ "license": "Apache-2.0",
+ "author": {
+ "name": "The Stdlib Authors",
+ "url": "https://github.com/stdlib-js/stdlib/graphs/contributors"
+ },
+ "contributors": [
+ {
+ "name": "The Stdlib Authors",
+ "url": "https://github.com/stdlib-js/stdlib/graphs/contributors"
+ }
+ ],
+ "main": "./lib",
+ "directories": {
+ "benchmark": "./benchmark",
+ "doc": "./docs",
+ "example": "./examples",
+ "lib": "./lib",
+ "test": "./test"
+ },
+ "types": "./docs/types",
+ "scripts": {},
+ "homepage": "https://github.com/stdlib-js/stdlib",
+ "repository": {
+ "type": "git",
+ "url": "git://github.com/stdlib-js/stdlib.git"
+ },
+ "bugs": {
+ "url": "https://github.com/stdlib-js/stdlib/issues"
+ },
+ "dependencies": {},
+ "devDependencies": {},
+ "engines": {
+ "node": ">=0.10.0",
+ "npm": ">2.7.0"
+ },
+ "os": [
+ "aix",
+ "darwin",
+ "freebsd",
+ "linux",
+ "macos",
+ "openbsd",
+ "sunos",
+ "win32",
+ "windows"
+ ],
+ "keywords": [
+ "stdlib",
+ "stdmath",
+ "statistics",
+ "stats",
+ "distribution",
+ "dist",
+ "probability",
+ "prob",
+ "cdf",
+ "cumulative",
+ "cumulative distribution",
+ "distribution function",
+ "beta",
+ "logarithm",
+ "log",
+ "natural",
+ "ln",
+ "univariate",
+ "continuous"
+ ]
+}
diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/logcdf/test/fixtures/python/large_values.json b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/logcdf/test/fixtures/python/large_values.json
new file mode 100644
index 000000000000..eadf3b4b10bb
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/logcdf/test/fixtures/python/large_values.json
@@ -0,0 +1 @@
+{"x": [0.01, 0.02, 0.03, 0.04, 0.05, 0.060000000000000005, 0.06999999999999999, 0.08, 0.09, 0.09999999999999999, 0.11, 0.12, 0.13, 0.14, 0.15000000000000002, 0.16, 0.17, 0.18000000000000002, 0.19, 0.2, 0.21000000000000002, 0.22, 0.23, 0.24000000000000002, 0.25, 0.26, 0.27, 0.28, 0.29000000000000004, 0.3, 0.31, 0.32, 0.33, 0.34, 0.35000000000000003, 0.36000000000000004, 0.37, 0.38, 0.39, 0.4, 0.41000000000000003, 0.42000000000000004, 0.43, 0.44, 0.45, 0.46, 0.47000000000000003, 0.48000000000000004, 0.49, 0.5, 0.51, 0.52, 0.53, 0.54, 0.55, 0.56, 0.5700000000000001, 0.5800000000000001, 0.59, 0.6, 0.61, 0.62, 0.63, 0.64, 0.65, 0.66, 0.67, 0.68, 0.6900000000000001, 0.7000000000000001, 0.7100000000000001, 0.72, 0.73, 0.74, 0.75, 0.76, 0.77, 0.78, 0.79, 0.8, 0.81, 0.8200000000000001, 0.8300000000000001, 0.8400000000000001, 0.85, 0.86, 0.87, 0.88, 0.89, 0.9, 0.91, 0.92, 0.93, 0.9400000000000001, 0.9500000000000001, 0.9600000000000001, 0.97, 0.98, 0.99, 1.0, 1.01, 1.02, 1.03, 1.04, 1.05, 1.06, 1.07, 1.08, 1.09, 1.1, 1.11, 1.12, 1.1300000000000001, 1.1400000000000001, 1.1500000000000001, 1.1600000000000001, 1.17, 1.18, 1.19, 1.2, 1.21, 1.22, 1.23, 1.24, 1.25, 1.26, 1.27, 1.28, 1.29, 1.3, 1.31, 1.32, 1.33, 1.34, 1.35, 1.36, 1.37, 1.3800000000000001, 1.3900000000000001, 1.4000000000000001, 1.4100000000000001, 1.42, 1.43, 1.44, 1.45, 1.46, 1.47, 1.48, 1.49, 1.5, 1.51, 1.52, 1.53, 1.54, 1.55, 1.56, 1.57, 1.58, 1.59, 1.6, 1.61, 1.62, 1.6300000000000001, 1.6400000000000001, 1.6500000000000001, 1.6600000000000001, 1.6700000000000002, 1.68, 1.69, 1.7, 1.71, 1.72, 1.73, 1.74, 1.75, 1.76, 1.77, 1.78, 1.79, 1.8, 1.81, 1.82, 1.83, 1.84, 1.85, 1.86, 1.87, 1.8800000000000001, 1.8900000000000001, 1.9000000000000001, 1.9100000000000001, 1.9200000000000002, 1.93, 1.94, 1.95, 1.96, 1.97, 1.98, 1.99, 2.0, 2.01, 2.02, 2.03, 2.04, 2.05, 2.0599999999999996, 2.07, 2.0799999999999996, 2.09, 2.0999999999999996, 2.11, 2.1199999999999997, 2.13, 2.1399999999999997, 2.15, 2.1599999999999997, 2.17, 2.1799999999999997, 2.19, 2.1999999999999997, 2.21, 2.2199999999999998, 2.23, 2.2399999999999998, 2.25, 2.26, 2.27, 2.28, 2.29, 2.3, 2.31, 2.32, 2.3299999999999996, 2.34, 2.3499999999999996, 2.36, 2.3699999999999997, 2.38, 2.3899999999999997, 2.4, 2.4099999999999997, 2.42, 2.4299999999999997, 2.44, 2.4499999999999997, 2.46, 2.4699999999999998, 2.48, 2.4899999999999998, 2.5, 2.51, 2.52, 2.53, 2.54, 2.55, 2.56, 2.57, 2.5799999999999996, 2.59, 2.5999999999999996, 2.61, 2.6199999999999997, 2.63, 2.6399999999999997, 2.65, 2.6599999999999997, 2.67, 2.6799999999999997, 2.69, 2.6999999999999997, 2.71, 2.7199999999999998, 2.73, 2.7399999999999998, 2.75, 2.76, 2.77, 2.78, 2.79, 2.8, 2.81, 2.82, 2.8299999999999996, 2.84, 2.8499999999999996, 2.86, 2.8699999999999997, 2.88, 2.8899999999999997, 2.9, 2.9099999999999997, 2.92, 2.9299999999999997, 2.94, 2.9499999999999997, 2.96, 2.9699999999999998, 2.98, 2.9899999999999998, 3.0, 3.01, 3.02, 3.03, 3.04, 3.05, 3.06, 3.07, 3.08, 3.09, 3.0999999999999996, 3.11, 3.1199999999999997, 3.13, 3.1399999999999997, 3.15, 3.1599999999999997, 3.17, 3.1799999999999997, 3.19, 3.1999999999999997, 3.21, 3.2199999999999998, 3.23, 3.2399999999999998, 3.25, 3.26, 3.27, 3.28, 3.29, 3.3, 3.31, 3.32, 3.33, 3.34, 3.3499999999999996, 3.36, 3.3699999999999997, 3.38, 3.3899999999999997, 3.4, 3.4099999999999997, 3.42, 3.4299999999999997, 3.44, 3.4499999999999997, 3.46, 3.4699999999999998, 3.48, 3.4899999999999998, 3.5, 3.51, 3.52, 3.53, 3.54, 3.55, 3.56, 3.57, 3.58, 3.59, 3.5999999999999996, 3.61, 3.6199999999999997, 3.63, 3.6399999999999997, 3.65, 3.6599999999999997, 3.67, 3.6799999999999997, 3.69, 3.6999999999999997, 3.71, 3.7199999999999998, 3.73, 3.7399999999999998, 3.75, 3.76, 3.77, 3.78, 3.79, 3.8, 3.81, 3.82, 3.83, 3.84, 3.8499999999999996, 3.86, 3.8699999999999997, 3.88, 3.8899999999999997, 3.9, 3.9099999999999997, 3.92, 3.9299999999999997, 3.94, 3.9499999999999997, 3.96, 3.9699999999999998, 3.98, 3.9899999999999998, 4.0, 4.01, 4.02, 4.03, 4.04, 4.05, 4.06, 4.07, 4.08, 4.09, 4.1, 4.109999999999999, 4.12, 4.13, 4.14, 4.1499999999999995, 4.16, 4.17, 4.18, 4.1899999999999995, 4.2, 4.21, 4.22, 4.2299999999999995, 4.24, 4.25, 4.26, 4.27, 4.28, 4.29, 4.3, 4.31, 4.32, 4.33, 4.34, 4.35, 4.36, 4.37, 4.38, 4.39, 4.3999999999999995, 4.41, 4.42, 4.43, 4.4399999999999995, 4.45, 4.46, 4.47, 4.4799999999999995, 4.49, 4.5, 4.51, 4.52, 4.53, 4.54, 4.55, 4.56, 4.57, 4.58, 4.59, 4.6, 4.61, 4.62, 4.63, 4.64, 4.6499999999999995, 4.66, 4.67, 4.68, 4.6899999999999995, 4.7, 4.71, 4.72, 4.7299999999999995, 4.74, 4.75, 4.76, 4.77, 4.78, 4.79, 4.8, 4.81, 4.82, 4.83, 4.84, 4.85, 4.86, 4.87, 4.88, 4.89, 4.8999999999999995, 4.91, 4.92, 4.93, 4.9399999999999995, 4.95, 4.96, 4.97, 4.9799999999999995, 4.99, 5.0, 5.01, 5.02, 5.03, 5.04, 5.05, 5.06, 5.07, 5.08, 5.09, 5.1, 5.11, 5.12, 5.13, 5.14, 5.1499999999999995, 5.16, 5.17, 5.18, 5.1899999999999995, 5.2, 5.21, 5.22, 5.2299999999999995, 5.24, 5.25, 5.26, 5.27, 5.28, 5.29, 5.3, 5.31, 5.32, 5.33, 5.34, 5.35, 5.36, 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\ No newline at end of file
diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/logcdf/test/fixtures/python/medium_values.json b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/logcdf/test/fixtures/python/medium_values.json
new file mode 100644
index 000000000000..b225e4a03472
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/logcdf/test/fixtures/python/medium_values.json
@@ -0,0 +1 @@
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\ No newline at end of file
diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/logcdf/test/fixtures/python/runner.py b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/logcdf/test/fixtures/python/runner.py
new file mode 100644
index 000000000000..d5f5dac299e1
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/logcdf/test/fixtures/python/runner.py
@@ -0,0 +1,88 @@
+#!/usr/bin/env python
+#
+# @license Apache-2.0
+#
+# Copyright (c) 2025 The Stdlib Authors.
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+# http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+
+"""Generate fixtures."""
+
+import os
+import json
+import numpy as np
+from scipy.stats import burr
+
+# Get the file path:
+FILE = os.path.realpath(__file__)
+
+# Extract the directory in which this file resides:
+DIR = os.path.dirname(FILE)
+
+
+def gen(x, c, d, name):
+ """Generate fixture data and write to file.
+
+ # Arguments
+ * `x`: domain
+ * `c`: domain
+ * `d`: domain
+ * `name::str`: output filename
+ # Examples
+ ``` python
+ python> x = linspace(0, 1, 2001)
+ python> c = linspace(0.1, 1000, 2001)
+ python> d = linspace(0.1, 1000, 2001)
+ python> gen(x, c, d, './data.json')
+ ```
+ """
+ y = burr.logcdf(x, c, d)
+
+ # Store data to be written to file as a dictionary:
+ data = {
+ "x": x.tolist(),
+ "c": c.tolist(),
+ "d": d.tolist(),
+ "expected": y.tolist()
+ }
+
+ # Based on the script directory, create an output filepath:
+ filepath = os.path.join(DIR, name)
+
+ # Write the data to the output filepath as JSON:
+ with open(filepath, "w", encoding="utf-8") as outfile:
+ json.dump(data, outfile)
+
+
+def main():
+ """Generate fixture data."""
+ x = np.linspace(0.01, 10, 1000)
+
+ # Small shape parameter:
+ c = np.linspace(0.1, 1, 1000)
+ d = np.linspace(0.1, 1, 1000)
+ gen(x, c, d, "small_values.json")
+
+ # Medium shape parameter:
+ c = np.linspace(1, 10, 1000)
+ d = np.linspace(1, 10, 1000)
+ gen(x, c, d, "medium_values.json")
+
+ # Large shape parameter:
+ c = np.linspace(10, 100, 1000)
+ d = np.linspace(10, 100, 1000)
+ gen(x, c, d, "large_values.json")
+
+
+if __name__ == "__main__":
+ main()
diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/logcdf/test/fixtures/python/small_values.json b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/logcdf/test/fixtures/python/small_values.json
new file mode 100644
index 000000000000..b41cafceac8d
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/logcdf/test/fixtures/python/small_values.json
@@ -0,0 +1 @@
+{"x": [0.01, 0.02, 0.03, 0.04, 0.05, 0.060000000000000005, 0.06999999999999999, 0.08, 0.09, 0.09999999999999999, 0.11, 0.12, 0.13, 0.14, 0.15000000000000002, 0.16, 0.17, 0.18000000000000002, 0.19, 0.2, 0.21000000000000002, 0.22, 0.23, 0.24000000000000002, 0.25, 0.26, 0.27, 0.28, 0.29000000000000004, 0.3, 0.31, 0.32, 0.33, 0.34, 0.35000000000000003, 0.36000000000000004, 0.37, 0.38, 0.39, 0.4, 0.41000000000000003, 0.42000000000000004, 0.43, 0.44, 0.45, 0.46, 0.47000000000000003, 0.48000000000000004, 0.49, 0.5, 0.51, 0.52, 0.53, 0.54, 0.55, 0.56, 0.5700000000000001, 0.5800000000000001, 0.59, 0.6, 0.61, 0.62, 0.63, 0.64, 0.65, 0.66, 0.67, 0.68, 0.6900000000000001, 0.7000000000000001, 0.7100000000000001, 0.72, 0.73, 0.74, 0.75, 0.76, 0.77, 0.78, 0.79, 0.8, 0.81, 0.8200000000000001, 0.8300000000000001, 0.8400000000000001, 0.85, 0.86, 0.87, 0.88, 0.89, 0.9, 0.91, 0.92, 0.93, 0.9400000000000001, 0.9500000000000001, 0.9600000000000001, 0.97, 0.98, 0.99, 1.0, 1.01, 1.02, 1.03, 1.04, 1.05, 1.06, 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-0.10850153144369723, -0.10829606723950913, -0.108090756673289, -0.10788560069722039, -0.10768060025800831, -0.10747575629689132, -0.10727106974965328, -0.1070665415466353, -0.10686217261274775, -0.10665796386748226, -0.10645391622492369, -0.10625003059376228, -0.10604630787730572, -0.1058427489734912, -0.10563935477489779, -0.10543612616875833, -0.10523306403697195, -0.10503016925611611, -0.10482744269745901, -0.10462488522697184, -0.10442249770534126, -0.10422028098798151, -0.1040182359250471, -0.10381636336144506, -0.10361466413684746, -0.10341313908570388, -0.10321178903725396, -0.10301061481553993, -0.10280961723941906, -0.10260879712257642, -0.1024081552735375, -0.10220769249568065, -0.10200740958724991, -0.1018073073413677, -0.10160738654604748, -0.10140764798420647, -0.10120809243367851, -0.10100872066722671, -0.10080953345255642, -0.10061053155232787, -0.10041171572416913, -0.10021308672068896, -0.10001464528948975, -0.0998163921731803, -0.09961832810938888, 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\ No newline at end of file
diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/logcdf/test/test.factory.js b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/logcdf/test/test.factory.js
new file mode 100644
index 000000000000..237b9a5be6b6
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/logcdf/test/test.factory.js
@@ -0,0 +1,217 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2025 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var tape = require( 'tape' );
+var isnan = require( '@stdlib/math/base/assert/is-nan' );
+var abs = require( '@stdlib/math/base/special/abs' );
+var NINF = require( '@stdlib/constants/float64/ninf' );
+var EPS = require( '@stdlib/constants/float64/eps' );
+var factory = require( './../lib/factory.js' );
+
+
+// FIXTURES //
+
+var small = require( './fixtures/python/small_values.json' );
+var medium = require( './fixtures/python/medium_values.json' );
+var large = require( './fixtures/python/large_values.json' );
+
+
+// TESTS //
+
+tape( 'main export is a function', function test( t ) {
+ t.ok( true, __filename );
+ t.strictEqual( typeof factory, 'function', 'main export is a function' );
+ t.end();
+});
+
+tape( 'the function returns a function', function test( t ) {
+ var logcdf = factory( 1.0, 1.0 );
+ t.equal( typeof logcdf, 'function', 'returns a function' );
+ t.end();
+});
+
+tape( 'if provided `NaN` for any parameter, the created function returns `NaN`', function test( t ) {
+ var logcdf;
+ var y;
+
+ logcdf = factory( 1.0, 1.0 );
+ y = logcdf( NaN );
+ t.equal( isnan( y ), true, 'returns expected value' );
+
+ logcdf = factory( NaN, 1.0 );
+ y = logcdf( 0.0 );
+ t.equal( isnan( y ), true, 'returns expected value' );
+
+ logcdf = factory( 1.0, NaN );
+ y = logcdf( 0.0 );
+ t.equal( isnan( y ), true, 'returns expected value' );
+
+ logcdf = factory( NaN, NaN );
+ y = logcdf( NaN );
+ t.equal( isnan( y ), true, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'if provided `c <= 0`, the created function always returns `NaN`', function test( t ) {
+ var logcdf;
+ var y;
+
+ logcdf = factory( -1.0, 1.0 );
+ y = logcdf( 1.0 );
+ t.equal( isnan( y ), true, 'returns expected value' );
+
+ y = logcdf( 0.5 );
+ t.equal( isnan( y ), true, 'returns expected value' );
+
+ y = logcdf( 0.0 );
+ t.equal( isnan( y ), true, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'if provided `d <= 0`, the created function always returns `NaN`', function test( t ) {
+ var logcdf;
+ var y;
+
+ logcdf = factory( 1.0, -1.0 );
+ y = logcdf( 1.0 );
+ t.equal( isnan( y ), true, 'returns expected value' );
+
+ y = logcdf( 0.5 );
+ t.equal( isnan( y ), true, 'returns expected value' );
+
+ y = logcdf( 0.0 );
+ t.equal( isnan( y ), true, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'if provided a finite `c` and `d`, the function returns a function which returns `NaN` when provided a number smaller than or equal to zero for `x`', function test( t ) {
+ var logcdf;
+ var y;
+
+ logcdf = factory( 0.5, 1.0 );
+ y = logcdf( NINF );
+ t.equal( isnan( y ), true, 'returns expected value' );
+
+ y = logcdf( -100.0 );
+ t.equal( isnan( y ), true, 'returns expected value' );
+
+ y = logcdf( -10.0 );
+ t.equal( isnan( y ), true, 'returns expected value' );
+
+ y = logcdf( -1.0 );
+ t.equal( isnan( y ), true, 'returns expected value' );
+
+ y = logcdf( 0.0 );
+ t.equal( isnan( y ), true, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'the created function evaluates the logcdf for `x` given small parameters `c` and `d`', function test( t ) {
+ var expected;
+ var logcdf;
+ var delta;
+ var tol;
+ var c;
+ var d;
+ var i;
+ var x;
+ var y;
+
+ expected = small.expected;
+ x = small.x;
+ c = small.c;
+ d = small.d;
+ for ( i = 0; i < x.length; i++ ) {
+ logcdf = factory( c[i], d[i] );
+ y = logcdf( x[i] );
+ if ( y === expected[i] ) {
+ t.equal( y, expected[i], 'x: '+x[i]+'. c: '+c[i]+'. d: '+d[i]+', y: '+y+', expected: '+expected[i] );
+ } else {
+ delta = abs( y - expected[ i ] );
+ tol = 2.0 * EPS * abs( expected[ i ] );
+ t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. c: '+c[i]+'. d: '+d[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' );
+ }
+ }
+ t.end();
+});
+
+tape( 'the created function evaluates the logcdf for `x` given medium parameters `c` and `d`', function test( t ) {
+ var expected;
+ var logcdf;
+ var delta;
+ var tol;
+ var c;
+ var d;
+ var i;
+ var x;
+ var y;
+
+ expected = medium.expected;
+ x = medium.x;
+ c = medium.c;
+ d = medium.d;
+ for ( i = 0; i < x.length; i++ ) {
+ logcdf = factory( c[i], d[i] );
+ y = logcdf( x[i] );
+ if ( y === expected[i] ) {
+ t.equal( y, expected[i], 'x: '+x[i]+'. c: '+c[i]+'. d: '+d[i]+', y: '+y+', expected: '+expected[i] );
+ } else {
+ delta = abs( y - expected[ i ] );
+ tol = 2.0 * EPS * abs( expected[ i ] );
+ t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. c: '+c[i]+'. d: '+d[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' );
+ }
+ }
+ t.end();
+});
+
+tape( 'the created function evaluates the logcdf for `x` given large parameters `c` and `d`', function test( t ) {
+ var expected;
+ var logcdf;
+ var delta;
+ var tol;
+ var c;
+ var d;
+ var i;
+ var x;
+ var y;
+
+ expected = large.expected;
+ x = large.x;
+ c = large.c;
+ d = large.d;
+ for ( i = 0; i < x.length; i++ ) {
+ logcdf = factory( c[i], d[i] );
+ y = logcdf( x[i] );
+ if ( y === expected[i] ) {
+ t.equal( y, expected[i], 'x: '+x[i]+'. c: '+c[i]+'. d: '+d[i]+', y: '+y+', expected: '+expected[i] );
+ } else {
+ delta = abs( y - expected[ i ] );
+ tol = 2.0 * EPS * abs( expected[ i ] );
+ t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. c: '+c[i]+'. d: '+d[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' );
+ }
+ }
+ t.end();
+});
diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/logcdf/test/test.js b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/logcdf/test/test.js
new file mode 100644
index 000000000000..fe65bdf1a764
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/logcdf/test/test.js
@@ -0,0 +1,38 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2025 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var tape = require( 'tape' );
+var logcdf = require( './../lib' );
+
+
+// TESTS //
+
+tape( 'main export is a function', function test( t ) {
+ t.ok( true, __filename );
+ t.strictEqual( typeof logcdf, 'function', 'main export is a function' );
+ t.end();
+});
+
+tape( 'attached to the main export is a factory method for generating `logcdf` functions', function test( t ) {
+ t.equal( typeof logcdf.factory, 'function', 'exports a factory method' );
+ t.end();
+});
diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/logcdf/test/test.logcdf.js b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/logcdf/test/test.logcdf.js
new file mode 100644
index 000000000000..fce81e56e612
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/logcdf/test/test.logcdf.js
@@ -0,0 +1,188 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2025 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var tape = require( 'tape' );
+var isnan = require( '@stdlib/math/base/assert/is-nan' );
+var abs = require( '@stdlib/math/base/special/abs' );
+var NINF = require( '@stdlib/constants/float64/ninf' );
+var EPS = require( '@stdlib/constants/float64/eps' );
+var logcdf = require( './../lib' );
+
+
+// FIXTURES //
+
+var small = require( './fixtures/python/small_values.json' );
+var medium = require( './fixtures/python/medium_values.json' );
+var large = require( './fixtures/python/large_values.json' );
+
+
+// TESTS //
+
+tape( 'main export is a function', function test( t ) {
+ t.ok( true, __filename );
+ t.strictEqual( typeof logcdf, 'function', 'main export is a function' );
+ t.end();
+});
+
+tape( 'if provided `NaN` for any parameter, the function returns `NaN`', function test( t ) {
+ var y;
+
+ y = logcdf( NaN, 1.0, 1.0 );
+ t.equal( isnan( y ), true, 'returns expected value' );
+
+ y = logcdf( 0.0, NaN, 1.0 );
+ t.equal( isnan( y ), true, 'returns expected value' );
+
+ y = logcdf( 0.0, 1.0, NaN );
+ t.equal( isnan( y ), true, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'if provided `c <= 0`, the function returns `NaN`', function test( t ) {
+ var y;
+
+ y = logcdf( 0.0, 0.0, 1.0 );
+ t.equal( isnan( y ), true, 'returns expected value' );
+
+ y = logcdf( 0.5, -1.0, 1.0 );
+ t.equal( isnan( y ), true, 'returns expected value' );
+
+ y = logcdf( 1.0, NINF, 1.0 );
+ t.equal( isnan( y ), true, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'if provided `d <= 0`, the function returns `NaN`', function test( t ) {
+ var y;
+
+ y = logcdf( 0.0, 1.0, 0.0 );
+ t.equal( isnan( y ), true, 'returns expected value' );
+
+ y = logcdf( 0.5, 1.0, -1.0 );
+ t.equal( isnan( y ), true, 'returns expected value' );
+
+ y = logcdf( 1.0, 1.0, NINF );
+ t.equal( isnan( y ), true, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'if provided a number less than or equal to zero for `x` and with finite `c` and finite `d`, the function returns `NaN`', function test( t ) {
+ var y;
+
+ y = logcdf( NINF, 0.5, 1.0 );
+ t.equal( isnan( y ), true, 'returns expected value' );
+
+ y = logcdf( -100.0, 0.5, 1.0 );
+ t.equal( isnan( y ), true, 'returns expected value' );
+
+ y = logcdf( -1.0, 0.5, 1.0 );
+ t.equal( isnan( y ), true, 'returns expected value' );
+
+ y = logcdf( 0.0, 0.5, 1.0 );
+ t.equal( isnan( y ), true, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'the function evaluates the logcdf for `x` given small parameters `c` and `d`', function test( t ) {
+ var expected;
+ var delta;
+ var tol;
+ var x;
+ var c;
+ var d;
+ var y;
+ var i;
+
+ expected = small.expected;
+ x = small.x;
+ c = small.c;
+ d = small.d;
+ for ( i = 0; i < x.length; i++ ) {
+ y = logcdf( x[i], c[i], d[i] );
+ if ( y === expected[i] ) {
+ t.equal( y, expected[i], 'x: '+x[i]+'. c:'+c[i]+'. d:'+d[i]+', y: '+y+', expected: '+expected[i] );
+ } else {
+ delta = abs( y - expected[ i ] );
+ tol = 2.0 * EPS * abs( expected[ i ] );
+ t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. c: '+c[i]+'. d: '+d[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' );
+ }
+ }
+ t.end();
+});
+
+tape( 'the function evaluates the logcdf for `x` given medium parameters `c` and `d`', function test( t ) {
+ var expected;
+ var delta;
+ var tol;
+ var x;
+ var c;
+ var d;
+ var y;
+ var i;
+
+ expected = medium.expected;
+ x = medium.x;
+ c = medium.c;
+ d = medium.d;
+ for ( i = 0; i < x.length; i++ ) {
+ y = logcdf( x[i], c[i], d[i] );
+ if ( y === expected[i] ) {
+ t.equal( y, expected[i], 'x: '+x[i]+'. c:'+c[i]+'. d:'+d[i]+', y: '+y+', expected: '+expected[i] );
+ } else {
+ delta = abs( y - expected[ i ] );
+ tol = 2.0 * EPS * abs( expected[ i ] );
+ t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. c: '+c[i]+'. d: '+d[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' );
+ }
+ }
+ t.end();
+});
+
+tape( 'the function evaluates the logcdf for `x` given large parameters `c` and `d`', function test( t ) {
+ var expected;
+ var delta;
+ var tol;
+ var x;
+ var c;
+ var d;
+ var y;
+ var i;
+
+ expected = large.expected;
+ x = large.x;
+ c = large.c;
+ d = large.d;
+ for ( i = 0; i < x.length; i++ ) {
+ y = logcdf( x[i], c[i], d[i] );
+ if ( y === expected[i] ) {
+ t.equal( y, expected[i], 'x: '+x[i]+'. c: '+c[i]+'. d: '+d[i]+', y: '+y+', expected: '+expected[i] );
+ } else {
+ delta = abs( y - expected[ i ] );
+ tol = 2.0 * EPS * abs( expected[ i ] );
+ t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. c: '+c[i]+'. d: '+d[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' );
+ }
+ }
+ t.end();
+});