diff --git a/lib/node_modules/@stdlib/stats/incr/nanmrmse/README.md b/lib/node_modules/@stdlib/stats/incr/nanmrmse/README.md
new file mode 100644
index 000000000000..2fbbaefb56a0
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/incr/nanmrmse/README.md
@@ -0,0 +1,175 @@
+
+
+# incrnanmrmse
+
+> Compute a moving [root mean squared error][root-mean-squared-error] (RMSE) incrementally, ignoring `NaN` values.
+
+
+
+For a window of size `W`, the [**root mean squared error**][root-mean-squared-error] (also known as the **root mean square error** (RMSE) and **root mean square deviation** (RMSD)) is defined as
+
+
+
+```math
+\mathop{\mathrm{RMSE}} = \sqrt{ \frac{1}{W} \sum_{i=0}^{W-1} (y_i - x_i)^2 }
+```
+
+
+
+
+
+
+
+
+
+
+
+## Usage
+
+```javascript
+var incrnanmrmse = require( '@stdlib/stats/incr/nanmrmse' );
+```
+
+#### incrnanmrmse( window )
+
+Returns an accumulator `function` which incrementally computes a moving [root mean squared error][root-mean-squared-error]. The `window` parameter defines the number of values over which to compute the moving [root mean squared error][root-mean-squared-error], ignoring `NaN` values.
+
+```javascript
+var accumulator = incrnanmrmse( 3 );
+```
+
+#### accumulator( \[x, y] )
+
+If provided input values `x` and `y`, the accumulator function returns an updated [root mean squared error][root-mean-squared-error]. If not provided input values `x` and `y`, the accumulator function returns the current [root mean squared error][root-mean-squared-error].
+
+```javascript
+var accumulator = incrnanmrmse( 3 );
+
+var r = accumulator();
+// returns null
+
+// Fill the window...
+r = accumulator( 2.0, 3.0 ); // [(2.0,3.0)]
+// returns 1.0
+
+r = accumulator( 1.0, NaN ); // [(2.0,3.0)]
+// returns 1.0
+
+r = accumulator( -1.0, 4.0 ); // [(2.0,3.0), (-1.0,4.0)]
+// returns ~3.61
+
+r = accumulator( 3.0, 9.0 ); // [(2.0,3.0), (-1.0,4.0), (3.0,9.0)]
+// returns ~4.55
+
+// Window begins sliding...
+r = accumulator( -7.0, 3.0 ); // [(-1.0,4.0), (3.0,9.0), (-7.0,3.0)]
+// returns ~7.33
+
+r = accumulator( -5.0, -3.0 ); // [(3.0,9.0), (-7.0,3.0), (-5.0,-3.0)]
+// returns ~6.83
+
+r = accumulator();
+// returns ~6.83
+```
+
+
+
+
+
+
+
+## Notes
+
+- Input values are **not** type checked. If non-numeric inputs are possible, you are advised to type check and handle accordingly **before** passing the value to the accumulator function.
+- As `W` (x,y) pairs are needed to fill the window buffer, the first `W-1` returned values are calculated from smaller sample sizes. Until the window is full, each returned value is calculated from all provided values.
+
+
+
+
+
+
+
+## Examples
+
+
+
+```javascript
+var randu = require( '@stdlib/random/base/randu' );
+var incrnanmrmse = require( '@stdlib/stats/incr/nanmrmse' );
+
+var accumulator;
+var v1;
+var v2;
+var i;
+
+// Initialize an accumulator:
+accumulator = incrnanmrmse( 5 );
+
+// For each simulated datum, update the moving root mean squared error...
+for ( i = 0; i < 100; i++ ) {
+ if ( randu() < 0.2 ) {
+ v1 = NaN;
+ v2 = NaN;
+ } else {
+ v1 = ( randu()*100.0 ) - 50.0;
+ v2 = ( randu()*100.0 ) - 50.0;
+ }
+ accumulator( v1, v2 );
+}
+console.log( accumulator() );
+```
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+[root-mean-squared-error]: https://en.wikipedia.org/wiki/Root-mean-square_deviation
+
+
+
+[@stdlib/stats/incr/mrmse]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/stats/incr/mrmse
+
+
+
+
+
+
diff --git a/lib/node_modules/@stdlib/stats/incr/nanmrmse/benchmark/benchmark.js b/lib/node_modules/@stdlib/stats/incr/nanmrmse/benchmark/benchmark.js
new file mode 100644
index 000000000000..f6c1ac7ac646
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/incr/nanmrmse/benchmark/benchmark.js
@@ -0,0 +1,69 @@
+/**
+* @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 randu = require( '@stdlib/random/base/randu' );
+var pkg = require( './../package.json' ).name;
+var incrnanmrmse = require( './../lib' );
+
+
+// MAIN //
+
+bench( pkg, function benchmark( b ) {
+ var f;
+ var i;
+ b.tic();
+ for ( i = 0; i < b.iterations; i++ ) {
+ f = incrnanmrmse( (i%5)+1 );
+ if ( typeof f !== 'function' ) {
+ b.fail( 'should return a function' );
+ }
+ }
+ b.toc();
+ if ( typeof f !== 'function' ) {
+ b.fail( 'should return a function' );
+ }
+ b.pass( 'benchmark finished' );
+ b.end();
+});
+
+bench( pkg+'::accumulator', function benchmark( b ) {
+ var acc;
+ var v;
+ var i;
+
+ acc = incrnanmrmse( 5 );
+
+ b.tic();
+ for ( i = 0; i < b.iterations; i++ ) {
+ v = acc( randu()-0.5, randu()-0.5 );
+ if ( v !== v ) {
+ b.fail( 'should not return NaN' );
+ }
+ }
+ b.toc();
+ if ( v !== v ) {
+ b.fail( 'should not return NaN' );
+ }
+ b.pass( 'benchmark finished' );
+ b.end();
+});
diff --git a/lib/node_modules/@stdlib/stats/incr/nanmrmse/docs/img/equation_root_mean_squared_error.svg b/lib/node_modules/@stdlib/stats/incr/nanmrmse/docs/img/equation_root_mean_squared_error.svg
new file mode 100644
index 000000000000..4e8a0dcf5b6a
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/incr/nanmrmse/docs/img/equation_root_mean_squared_error.svg
@@ -0,0 +1,75 @@
+
\ No newline at end of file
diff --git a/lib/node_modules/@stdlib/stats/incr/nanmrmse/docs/repl.txt b/lib/node_modules/@stdlib/stats/incr/nanmrmse/docs/repl.txt
new file mode 100644
index 000000000000..dd916c3860fb
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/incr/nanmrmse/docs/repl.txt
@@ -0,0 +1,47 @@
+
+{{alias}}( W )
+ Returns an accumulator function which incrementally computes a moving root
+ mean squared error (RMSE), ignoring 'NaN' values.
+
+ The `W` parameter defines the number of values over which to compute the
+ moving root mean squared error.
+
+ If provided a value, the accumulator function returns an updated moving root
+ mean squared error. If not provided a value, the accumulator function
+ returns the current moving root mean squared error.
+
+ As `W` values are needed to fill the window buffer, the first `W-1` returned
+ values are calculated from smaller sample sizes. Until the window is full,
+ each returned value is calculated from all provided values.
+
+ Parameters
+ ----------
+ W: integer
+ Window size.
+
+ Returns
+ -------
+ acc: Function
+ Accumulator function.
+
+ Examples
+ --------
+ > var accumulator = {{alias}}( 3 );
+ > var r = accumulator()
+ null
+ > r = accumulator( 2.0, 3.0 )
+ 1.0
+ > r = accumulator( 1.0, NaN )
+ 1.0
+ > r = accumulator( -5.0, 2.0 )
+ 5.0
+ > r = accumulator( 3.0, 2.0 )
+ ~4.12
+ > r = accumulator( 5.0, -2.0 )
+ ~5.74
+ > r = accumulator()
+ ~5.74
+
+ See Also
+ --------
+
diff --git a/lib/node_modules/@stdlib/stats/incr/nanmrmse/docs/types/index.d.ts b/lib/node_modules/@stdlib/stats/incr/nanmrmse/docs/types/index.d.ts
new file mode 100644
index 000000000000..90f9fe1b6510
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/incr/nanmrmse/docs/types/index.d.ts
@@ -0,0 +1,73 @@
+/*
+* @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
+
+///
+
+/**
+* If provided input values, the accumulator function returns an updated root mean squared error. If not provided input values, the accumulator function returns the current root mean squared error.
+*
+* @param x - input value
+* @param y - input value
+* @returns root mean squared error or null
+*/
+type accumulator = ( x?: number, y?: number ) => number | null;
+
+/**
+* Returns an accumulator function which incrementally computes a moving root mean squared error, ignoring `NaN` values.
+*
+* ## Notes
+*
+* - The `W` parameter defines the number of values over which to compute the moving root mean squared error.
+* - As `W` values are needed to fill the window buffer, the first `W-1` returned values are calculated from smaller sample sizes. Until the window is full, each returned value is calculated from all provided values.
+*
+* @param W - window size
+* @throws must provide a positive integer
+* @returns accumulator function
+*
+* @example
+* var accumulator = incrnanmrmse( 3 );
+*
+* var r = accumulator();
+* // returns null
+*
+* r = accumulator( 2.0, 3.0 );
+* // returns 1.0
+*
+* r = accumulator( 1.0, NaN );
+* // returns 1.0
+*
+* r = accumulator( -5.0, 2.0 );
+* // returns 5.0
+*
+* r = accumulator( 3.0, 2.0 );
+* // returns ~4.12
+*
+* r = accumulator( 5.0, -2.0 );
+* // returns ~5.74
+*
+* r = accumulator();
+* // returns ~5.74
+*/
+declare function incrnanmrmse( W: number ): accumulator;
+
+
+// EXPORTS //
+
+export = incrnanmrmse;
diff --git a/lib/node_modules/@stdlib/stats/incr/nanmrmse/docs/types/test.ts b/lib/node_modules/@stdlib/stats/incr/nanmrmse/docs/types/test.ts
new file mode 100644
index 000000000000..833f4763b60f
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/incr/nanmrmse/docs/types/test.ts
@@ -0,0 +1,74 @@
+/*
+* @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 incrnanmrmse = require( './index' );
+
+
+// TESTS //
+
+// The function returns an accumulator function...
+{
+ incrnanmrmse( 3 ); // $ExpectType accumulator
+}
+
+// The compiler throws an error if the function is provided an argument which is not a number...
+{
+ incrnanmrmse( '5' ); // $ExpectError
+ incrnanmrmse( true ); // $ExpectError
+ incrnanmrmse( false ); // $ExpectError
+ incrnanmrmse( null ); // $ExpectError
+ incrnanmrmse( undefined ); // $ExpectError
+ incrnanmrmse( [] ); // $ExpectError
+ incrnanmrmse( {} ); // $ExpectError
+ incrnanmrmse( ( x: number ): number => x ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided an invalid number of arguments...
+{
+ incrnanmrmse(); // $ExpectError
+ incrnanmrmse( 2, 3 ); // $ExpectError
+}
+
+// The function returns an accumulator function which returns an accumulated result...
+{
+ const acc = incrnanmrmse( 3 );
+
+ acc(); // $ExpectType number | null
+ acc( 3.14, 2.0 ); // $ExpectType number | null
+}
+
+// The compiler throws an error if the returned accumulator function is provided invalid arguments...
+{
+ const acc = incrnanmrmse( 3 );
+
+ acc( '5', 2.0 ); // $ExpectError
+ acc( true, 2.0 ); // $ExpectError
+ acc( false, 2.0 ); // $ExpectError
+ acc( null, 2.0 ); // $ExpectError
+ acc( [], 2.0 ); // $ExpectError
+ acc( {}, 2.0 ); // $ExpectError
+ acc( ( x: number ): number => x, 2.0 ); // $ExpectError
+
+ acc( 3.14, '5' ); // $ExpectError
+ acc( 3.14, true ); // $ExpectError
+ acc( 3.14, false ); // $ExpectError
+ acc( 3.14, null ); // $ExpectError
+ acc( 3.14, [] ); // $ExpectError
+ acc( 3.14, {} ); // $ExpectError
+ acc( 3.14, ( x: number ): number => x ); // $ExpectError
+}
diff --git a/lib/node_modules/@stdlib/stats/incr/nanmrmse/examples/index.js b/lib/node_modules/@stdlib/stats/incr/nanmrmse/examples/index.js
new file mode 100644
index 000000000000..ec3ac6e5cab6
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/incr/nanmrmse/examples/index.js
@@ -0,0 +1,45 @@
+/**
+* @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 randu = require( '@stdlib/random/base/randu' );
+var incrnanmrmse = require( './../lib' );
+
+var accumulator;
+var rmse;
+var v1;
+var v2;
+var i;
+
+// Initialize an accumulator:
+accumulator = incrnanmrmse( 5 );
+
+// For each simulated datum, update the moving root mean squared error...
+console.log( '\nValue\tValue\tRMSE\n' );
+for ( i = 0; i < 100; i++ ) {
+ if ( randu() < 0.2 ) {
+ v1 = NaN;
+ v2 = NaN;
+ } else {
+ v1 = ( randu()*100.0 ) - 50.0;
+ v2 = ( randu()*100.0 ) - 50.0;
+ }
+ rmse = accumulator( v1, v2 );
+ console.log( '%d\t%d\t%d', v1.toFixed( 3 ), v2.toFixed( 3 ), ( rmse === null )? NaN : rmse.toFixed( 3 ) );
+}
diff --git a/lib/node_modules/@stdlib/stats/incr/nanmrmse/lib/index.js b/lib/node_modules/@stdlib/stats/incr/nanmrmse/lib/index.js
new file mode 100644
index 000000000000..a693c9cbe87b
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/incr/nanmrmse/lib/index.js
@@ -0,0 +1,60 @@
+/**
+* @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';
+
+/**
+* Compute a moving root mean squared error (RMSE) incrementally.
+*
+* @module @stdlib/stats/incr/nanmrmse
+*
+* @example
+* var incrnanmrmse = require( '@stdlib/stats/incr/nanmrmse' );
+*
+* var accumulator = incrnanmrmse( 3 );
+*
+* var r = accumulator();
+* // returns null
+*
+* r = accumulator( 2.0, 3.0 );
+* // returns 1.0
+*
+* r = accumulator( 1.0, NaN );
+* // returns 1.0
+*
+* r = accumulator( -5.0, 2.0 );
+* // returns 5.0
+*
+* r = accumulator( 3.0, 2.0 );
+* // returns ~4.12
+*
+* r = accumulator( 5.0, -2.0 );
+* // returns ~5.74
+*
+* r = accumulator();
+* // returns ~5.74
+*/
+
+// MODULES //
+
+var main = require( './main.js' );
+
+
+// EXPORTS //
+
+module.exports = main;
diff --git a/lib/node_modules/@stdlib/stats/incr/nanmrmse/lib/main.js b/lib/node_modules/@stdlib/stats/incr/nanmrmse/lib/main.js
new file mode 100644
index 000000000000..df32f2eb9af4
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/incr/nanmrmse/lib/main.js
@@ -0,0 +1,83 @@
+/**
+* @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 incrmrmse = require( '@stdlib/stats/incr/mrmse' );
+var isnan = require( '@stdlib/math/base/assert/is-nan' );
+
+
+// MAIN //
+
+/**
+* Returns an accumulator function which incrementally computes a moving root mean squared error.
+*
+* @param {PositiveInteger} W - window size
+* @throws {TypeError} must provide a positive integer
+* @returns {Function} accumulator function
+*
+* @example
+* var accumulator = incrnanmrmse( 3 );
+*
+* var r = accumulator();
+* // returns null
+*
+* r = accumulator( 2.0, 3.0 );
+* // returns 1.0
+*
+* r = accumulator( 1.0, NaN );
+* // returns 1.0
+*
+* r = accumulator( -5.0, 2.0 );
+* // returns 5.0
+*
+* r = accumulator( 3.0, 2.0 );
+* // returns ~4.12
+*
+* r = accumulator( 5.0, -2.0 );
+* // returns ~5.74
+*
+* r = accumulator();
+* // returns ~5.74
+*/
+function incrnanmrmse( W ) {
+ var mrmse = incrmrmse( W );
+ return accumulator;
+
+ /**
+ * If provided input values, the accumulator function returns an updated root mean squared error. If not provided input values, the accumulator function returns the current root mean squared error.
+ *
+ * @private
+ * @param {number} [x] - input value
+ * @param {number} [y] - input value
+ * @returns {(number|null)} root mean squared error or null
+ */
+ function accumulator( x, y ) {
+ if ( arguments.length === 0 || isnan( x ) || isnan( y ) ) {
+ return mrmse();
+ }
+ return mrmse( x, y );
+ }
+}
+
+
+// EXPORTS //
+
+module.exports = incrnanmrmse;
diff --git a/lib/node_modules/@stdlib/stats/incr/nanmrmse/package.json b/lib/node_modules/@stdlib/stats/incr/nanmrmse/package.json
new file mode 100644
index 000000000000..727470beeecb
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/incr/nanmrmse/package.json
@@ -0,0 +1,85 @@
+{
+ "name": "@stdlib/stats/incr/nanmrmse",
+ "version": "0.0.0",
+ "description": "Compute a moving root mean squared error (RMSE) incrementally.",
+ "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",
+ "mathematics",
+ "math",
+ "error",
+ "err",
+ "rmse",
+ "rmsd",
+ "mse",
+ "msd",
+ "residuals",
+ "squares",
+ "deviation",
+ "difference",
+ "diff",
+ "delta",
+ "incremental",
+ "accumulator",
+ "sliding window",
+ "sliding",
+ "window",
+ "moving",
+ "time series",
+ "timeseries",
+ "forecasting",
+ "forecast",
+ "model",
+ "selection",
+ "evaluation",
+ "prediction"
+ ]
+}
diff --git a/lib/node_modules/@stdlib/stats/incr/nanmrmse/test/test.js b/lib/node_modules/@stdlib/stats/incr/nanmrmse/test/test.js
new file mode 100644
index 000000000000..3335a7e0a92c
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/incr/nanmrmse/test/test.js
@@ -0,0 +1,262 @@
+/**
+* @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 sqrt = require( '@stdlib/math/base/special/sqrt' );
+var EPS = require( '@stdlib/constants/float64/eps' );
+var incrnanmrmse = require( './../lib' );
+
+
+// TESTS //
+
+tape( 'main export is a function', function test( t ) {
+ t.ok( true, __filename );
+ t.strictEqual( typeof incrnanmrmse, 'function', 'main export is a function' );
+ t.end();
+});
+
+tape( 'the function throws an error if not provided a positive integer', function test( t ) {
+ var values;
+ var i;
+
+ values = [
+ '5',
+ -5.0,
+ 0.0,
+ 3.14,
+ true,
+ null,
+ void 0,
+ NaN,
+ [],
+ {},
+ function noop() {}
+ ];
+
+ for ( i = 0; i < values.length; i++ ) {
+ t.throws( badValue( values[i] ), TypeError, 'throws an error when provided '+values[i] );
+ }
+ t.end();
+
+ function badValue( value ) {
+ return function badValue() {
+ incrnanmrmse( value );
+ };
+ }
+});
+
+tape( 'the function returns an accumulator function', function test( t ) {
+ t.equal( typeof incrnanmrmse( 3 ), 'function', 'returns a function' );
+ t.end();
+});
+
+tape( 'the accumulator function computes a moving root mean squared error incrementally', function test( t ) {
+ var expected;
+ var actual;
+ var delta;
+ var data;
+ var acc;
+ var tol;
+ var N;
+ var i;
+
+ data = [
+ [ 2.0, 3.0 ],
+ [ 3.0, -1.0 ],
+ [ 2.0, 5.0 ],
+ [ 4.0, -4.0 ],
+ [ 3.0, 0.0 ],
+ [ -4.0, 5.0 ]
+ ];
+ N = data.length;
+
+ acc = incrnanmrmse( 3 );
+
+ expected = [
+ 1.0,
+ sqrt( 17.0/2.0 ),
+ sqrt( 26.0/3.0 ),
+ sqrt( 89.0/3.0 ),
+ sqrt( 82.0/3.0 ),
+ sqrt( 154.0/3.0 )
+ ];
+ for ( i = 0; i < N; i++ ) {
+ actual = acc( data[i][0], data[i][1] );
+ if ( actual === expected[i] ) {
+ t.equal( actual, expected[i], 'returns expected value' );
+ } else {
+ delta = abs( expected[i] - actual );
+ tol = 1.0 * EPS * abs( expected[i] );
+ t.equal( delta <= tol, true, 'within tolerance. Actual: '+actual+'. Expected: '+expected[i]+'. Delta: '+delta+'. Tol: '+tol+'.' );
+ }
+ }
+ t.end();
+});
+
+tape( 'if not provided an input value, the accumulator function returns the current root mean squared error', function test( t ) {
+ var data;
+ var acc;
+ var i;
+
+ data = [
+ [ 2.0, 3.0 ],
+ [ 3.0, -5.0 ],
+ [ 1.0, 10.0 ]
+ ];
+ acc = incrnanmrmse( 2 );
+ for ( i = 0; i < data.length; i++ ) {
+ acc( data[i][0], data[i][1] );
+ }
+ t.equal( acc(), sqrt( 145.0/2.0 ), 'returns expected value' );
+ t.end();
+});
+
+tape( 'if data has yet to be provided, the accumulator function returns `null`', function test( t ) {
+ var acc = incrnanmrmse( 3 );
+ t.equal( acc(), null, 'returns null' );
+ t.end();
+});
+
+tape( 'if provided `NaN`, the accumulated value remains unchanged for at least `W` invocations', function test( t ) {
+ var expected;
+ var data;
+ var acc;
+ var v;
+ var i;
+
+ expected = [
+ null,
+ 0.0,
+ 0.0,
+ 0.0,
+ 0.0,
+ 0.0,
+ 0.0,
+ 0.0,
+ 0.0,
+ 0.0,
+ 0.0,
+ 0.0,
+ 0.0,
+ 0.0,
+ 0.0,
+ 0.0,
+ 0.0,
+ 0.0,
+ 0.0
+ ];
+
+ data = [
+ [ NaN, 3.14 ], // null
+ [ 3.14, 3.14 ], // null, 3.14
+ [ 3.14, 3.14 ], // 3.14, 3.14, 3.14
+ [ NaN, 3.14 ], // 3.14, 3.14, 3.14
+ [ 3.14, 3.14 ], // 3.14, 3.14, 3.14
+ [ 3.14, 3.14 ], // 3.14, 3.14, 3.14
+ [ 3.14, 3.14 ], // 3.14, 3.14, 3.14
+ [ NaN, 3.14 ], // 3.14, 3.14, 3.14
+ [ 3.14, 3.14 ], // 3.14, 3.14, 3.14
+ [ 3.14, 3.14 ], // 3.14, 3.14, 3.14
+ [ 3.14, 3.14 ], // 3.14, 3.14, 3.14
+ [ NaN, 3.14 ], // 3.14, 3.14, 3.14
+ [ 3.14, 3.14 ], // 3.14, 3.14, 3.14
+ [ 3.14, 3.14 ], // 3.14, 3.14, 3.14
+ [ NaN, 3.14 ], // 3.14, 3.14, 3.14
+ [ NaN, 3.14 ], // 3.14, 3.14, 3.14
+ [ NaN, 3.14 ], // 3.14, 3.14, 3.14
+ [ NaN, 3.14 ], // 3.14, 3.14, 3.14
+ [ 3.14, 3.14 ] // 3.14, 3.14, 3.14
+ ];
+
+ acc = incrnanmrmse( 3 );
+
+ for ( i = 0; i < data.length; i++ ) {
+ v = acc( data[i][0], data[i][1] );
+ if ( isnan( expected[ i ] ) ) {
+ t.equal( isnan( v ), true, 'returns expected value for window '+i );
+ t.equal( isnan( acc() ), true, 'returns expected value for window '+i );
+ } else {
+ t.equal( v, expected[ i ], 'returns expected value for window '+i );
+ t.equal( acc(), expected[ i ], 'returns expected value for window '+i );
+ }
+ }
+
+ expected = [
+ null,
+ 0.0,
+ 0.0,
+ 0.0,
+ 0.0,
+ 0.0,
+ 0.0,
+ 0.0,
+ 0.0,
+ 0.0,
+ 0.0,
+ 0.0,
+ 0.0,
+ 0.0,
+ 0.0,
+ 0.0,
+ 0.0,
+ 0.0,
+ 0.0
+ ];
+
+ data = [
+ [ 3.14, NaN ], // null
+ [ 3.14, 3.14 ], // null, 3.14
+ [ 3.14, 3.14 ], // 3.14, 3.14, 3.14
+ [ 3.14, NaN ], // 3.14, 3.14, 3.14
+ [ 3.14, 3.14 ], // 3.14, 3.14, 3.14
+ [ 3.14, 3.14 ], // 3.14, 3.14, 3.14
+ [ 3.14, 3.14 ], // 3.14, 3.14, 3.14
+ [ 3.14, NaN ], // 3.14, 3.14, 3.14
+ [ 3.14, 3.14 ], // 3.14, 3.14, 3.14
+ [ 3.14, 3.14 ], // 3.14, 3.14, 3.14
+ [ 3.14, 3.14 ], // 3.14, 3.14, 3.14
+ [ 3.14, NaN ], // 3.14, 3.14, 3.14
+ [ 3.14, 3.14 ], // 3.14, 3.14, 3.14
+ [ 3.14, 3.14 ], // 3.14, 3.14, 3.14
+ [ 3.14, NaN ], // 3.14, 3.14, 3.14
+ [ 3.14, NaN ], // 3.14, 3.14, 3.14
+ [ 3.14, NaN ], // 3.14, 3.14, 3.14
+ [ 3.14, NaN ], // 3.14, 3.14, 3.14
+ [ 3.14, 3.14 ] // 3.14, 3.14, 3.14
+ ];
+
+ acc = incrnanmrmse( 3 );
+
+ for ( i = 0; i < data.length; i++ ) {
+ v = acc( data[i][0], data[i][1] );
+ if ( isnan( expected[ i ] ) ) {
+ t.equal( isnan( v ), true, 'returns expected value for window '+i );
+ t.equal( isnan( acc() ), true, 'returns expected value for window '+i );
+ } else {
+ t.equal( v, expected[ i ], 'returns expected value for window '+i );
+ t.equal( acc(), expected[ i ], 'returns expected value for window '+i );
+ }
+ }
+ t.end();
+});