refactor: changed variables from alpha beta to c and d

vivekmaurya001 · vivekmaurya001 · commit 4ffa76177b35 · 2025-05-07T12:57:39.000Z
diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/README.md b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/README.md
@@ -31,7 +31,7 @@ raw="F(x; c, d) = (1 + x^{-c})^{-d}"
 alt="Cumulative distribution function for a Burr (Type III) distribution."> -->
 
 ```math
-F(x; alpha, beta) = (1 + x^{-alpha})^{-beta}
+F(x; c, d) = (1 + x^{-c})^{-d}
 ```
 
 <!-- <div class="equation" align="center" data-raw-text="F(x;c,d) = (1 + x^{-c})^{-d}" data-equation="eq:burr-type3_cdf">
@@ -41,7 +41,7 @@ F(x; alpha, beta) = (1 + x^{-alpha})^{-beta}
 
 <!-- </equation> -->
 
-where `alpha > 0` is the first shape parameter and `beta > 0` is the second shape parameter.
+where `c > 0` is the first shape parameter and `d > 0` is the second shape parameter.
 
 </section>
 
@@ -55,9 +55,9 @@ where `alpha > 0` is the first shape parameter and `beta > 0` is the second shap
 var cdf = require( '@stdlib/stats/base/dists/burr-type3/cdf' );
 ```
 
-#### cdf( x, alpha, beta )
+#### cdf( x, c, d )
 
-Evaluates the [cumulative distribution function][cdf] (CDF) for a [Burr (type III)][burr-distribution] distribution with parameters `alpha` (first shape parameter) and `beta` (second shape parameter).
+Evaluates the [cumulative distribution function][cdf] (CDF) for a [Burr (type III)][burr-distribution] distribution with parameters `c` (first shape parameter) and `d` (second shape parameter).
 
 ```javascript
 var y = cdf( 0.1, 1.0, 1.0 );
@@ -98,7 +98,7 @@ y = cdf( 0.0, 1.0, NaN );
 // returns NaN
 ```
 
-If provided `alpha <= 0`, the function returns `NaN`.
+If provided `c <= 0`, the function returns `NaN`.
 
 ```javascript
 var y = cdf( 2.0, -1.0, 0.5 );
@@ -108,7 +108,7 @@ y = cdf( 2.0, 0.0, 0.5 );
 // returns NaN
 ```
 
-If provided `beta <= 0`, the function returns `NaN`.
+If provided `d <= 0`, the function returns `NaN`.
 
 ```javascript
 var y = cdf( 2.0, 0.5, -1.0 );
@@ -118,9 +118,9 @@ y = cdf( 2.0, 0.5, 0.0 );
 // returns NaN
 ```
 
-#### cdf.factory( alpha, beta )
+#### cdf.factory( c, d )
 
-Returns a function for evaluating the [cumulative distribution function][cdf] for a [Burr (type III)][burr-distribution] distribution with parameters `alpha` (first shape parameter) and `beta` (second shape parameter).
+Returns a function for evaluating the [cumulative distribution function][cdf] for a [Burr (type III)][burr-distribution] distribution with parameters `c` (first shape parameter) and `d` (second shape parameter).
 
 ```javascript
 var mycdf = cdf.factory( 0.5, 0.5 );
@@ -146,15 +146,15 @@ y = mycdf( 0.3 );
 var cdf = require( '@stdlib/stats/base/dists/burr-type3/cdf' );
 var linspace = require( '@stdlib/array/linspace' );
 
-var alpha = linspace( 1, 10.0, 10 );
-var beta = linspace( 1, 10.0, 10 );
+var c = linspace( 1, 10.0, 10 );
+var d = linspace( 1, 10.0, 10 );
 var x = linspace( 0.1, 1.0, 10 );
 var y;
 var i;
 
 for ( i = 0; i < 10; i++ ) {
-    y = cdf( x[ i ], alpha[ i ], beta[ i ] );
-    console.log( 'x: %d, α: %d, β: %d, F(x;α,β): %d', x[i].toFixed( 4 ), alpha[i].toFixed( 4 ), beta[i].toFixed( 4 ), y.toFixed( 4 ) );
+    y = cdf( x[ i ], c[ i ], d[ i ] );
+    console.log( 'x: %d, α: %d, β: %d, F(x;α,β): %d', x[i].toFixed( 4 ), c[i].toFixed( 4 ), d[i].toFixed( 4 ), y.toFixed( 4 ) );
 }
 ```
 
diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/benchmark/benchmark.js b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/benchmark/benchmark.js
@@ -30,21 +30,21 @@ var cdf = require( './../lib' );
 // MAIN //
 
 bench( pkg, function benchmark( b ) {
-	var alpha;
-	var beta;
 	var len;
+	var c;
+	var d;
 	var x;
 	var y;
 	var i;
 
 	len = 100;
 	x = uniform( len, 0.0, 10.0 );
-	alpha = uniform( len, 0.1, 100.0 );
-	beta = uniform( len, 0.1, 100.0 );
+	c = uniform( len, 0.1, 100.0 );
+	d = uniform( len, 0.1, 100.0 );
 
 	b.tic();
 	for ( i = 0; i < b.iterations; i++ ) {
-		y = cdf( x[ i % len ], alpha[ i % len ], beta[ i % len ] );
+		y = cdf( x[ i % len ], c[ i % len ], d[ i % len ] );
 		if ( isnan( y ) ) {
 			b.fail( 'should not return NaN' );
 		}
diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/docs/repl.txt b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/docs/repl.txt
@@ -1,22 +1,22 @@
 
-{{alias}}( x, α, β )
-    Evaluates the cumulative distribution function (CDF) for a Burr (type III) 
-    distribution with first shape parameter `α` and second shape parameter `β` 
+{{alias}}( x, c, d )
+    Evaluates the cumulative distribution function (CDF) for a Burr (type III)
+    distribution with first shape parameter `c` and second shape parameter `d`
     at a value `x`.
 
     If provided `NaN` as any argument, the function returns `NaN`.
 
-    If `α <= 0` or `β <= 0` or `x <= 0`, the function returns `NaN`.
+    If `c <= 0` or `d <= 0` or `x <= 0`, the function returns `NaN`.
 
     Parameters
     ----------
     x: number
         Input value.
 
-    α: number
+    c: number
         First shape parameter.
 
-    β: number
+    d: number
         Second shape parameter.
 
     Returns
@@ -50,17 +50,17 @@
     NaN
 
 
-{{alias}}.factory( α, β )
-    Returns a function for evaluating the cumulative distribution function (CDF) 
-    of a Burr (type III) distribution with first shape parameter `α` and second 
-    shape parameter `β`.
+{{alias}}.factory( c, d )
+    Returns a function for evaluating the cumulative distribution function (CDF)
+    of a Burr (type III) distribution with first shape parameter `c` and second
+    shape parameter `d`.
 
     Parameters
     ----------
-    α: number
+    c: number
         First shape parameter.
 
-    β: number
+    d: number
         Second shape parameter.
 
     Returns
diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/docs/types/index.d.ts b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/docs/types/index.d.ts
@@ -31,15 +31,15 @@ type Unary = ( x: number ) => number;
 */
 interface CDF {
 	/**
-	* Evaluates 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`.
+	* Evaluates the cumulative distribution function (CDF) for a Burr (type III) distribution with first shape parameter `c` and second shape parameter `d` at a value `x`.
 	*
 	* ## Notes
 	*
-	* -   If `alpha <= 0` or `beta <= 0` or `x <= 0`, the function returns `NaN`.
+	* -   If `c <= 0` or `d <= 0` or `x <= 0`, the function returns `NaN`.
 	*
 	* @param x - input value
-	* @param alpha - first shape parameter
-	* @param beta - second shape parameter
+	* @param c - first shape parameter
+	* @param d - second shape parameter
 	* @returns evaluated CDF
 	*
 	* @example
@@ -78,13 +78,13 @@ interface CDF {
 	* var y = cdf( 0.0, 1.0, NaN );
 	* // returns NaN
 	*/
-	( x: number, alpha: number, beta: number ): number;
+	( x: number, c: number, d: number ): number;
 
 	/**
-	* Returns a function for evaluating the cumulative distribution function (CDF) for a Burr (type III) distribution with first shape parameter `alpha` and second shape parameter `beta`.
+	* Returns a function for evaluating the cumulative distribution function (CDF) for a Burr (type III) distribution with first shape parameter `c` and second shape parameter `d`.
 	*
-	* @param alpha - first shape parameter
-	* @param beta - second shape parameter
+	* @param c - first shape parameter
+	* @param d - second shape parameter
 	* @returns CDF
 	*
 	* @example
@@ -96,15 +96,15 @@ interface CDF {
 	* y = myCDF( 0.3 );
 	* // returns ~0.59
 	*/
-	factory( alpha: number, beta: number ): Unary;
+	factory( c: number, d: number ): Unary;
 }
 
 /**
 * Burr (type III) distribution cumulative distribution function (CDF).
 *
 * @param x - input value
-* @param alpha - first shape parameter
-* @param beta - second shape parameter
+* @param c - first shape parameter
+* @param d - second shape parameter
 * @returns evaluated CDF
 *
 * @example
diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/examples/index.js b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/examples/index.js
@@ -21,13 +21,13 @@
 var linspace = require( '@stdlib/array/linspace' );
 var cdf = require( './../lib' );
 
-var alpha = linspace( 1, 10.0, 10 );
-var beta = linspace( 1, 10.0, 10 );
+var c = linspace( 1, 10.0, 10 );
+var d = linspace( 1, 10.0, 10 );
 var x = linspace( 0.1, 1.0, 10 );
 var y;
 var i;
 
 for ( i = 0; i < 10; i++ ) {
-	y = cdf( x[ i ], alpha[ i ], beta[ i ] );
-	console.log( 'x: %d, α: %d, β: %d, F(x;α,β): %d', x[i].toFixed( 4 ), alpha[i].toFixed( 4 ), beta[i].toFixed( 4 ), y.toFixed( 4 ) );
+	y = cdf( x[ i ], c[ i ], d[ i ] );
+	console.log( 'x: %d, α: %d, β: %d, F(x;α,β): %d', x[i].toFixed( 4 ), c[i].toFixed( 4 ), d[i].toFixed( 4 ), y.toFixed( 4 ) );
 }
diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/lib/factory.js b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/lib/factory.js
@@ -28,10 +28,10 @@ var isnan = require( '@stdlib/math/base/assert/is-nan' );
 // MAIN //
 
 /**
-* Returns a function for evaluating the cumulative distribution function (CDF) for a Burr (type III) distribution with first shape parameter `alpha` and second shape parameter `beta`.
+* Returns a function for evaluating the cumulative distribution function (CDF) for a Burr (type III) distribution with first shape parameter `c` and second shape parameter `d`.
 *
-* @param {PositiveNumber} alpha - first shape parameter
-* @param {PositiveNumber} beta - second shape parameter
+* @param {PositiveNumber} c - first shape parameter
+* @param {PositiveNumber} d - second shape parameter
 * @returns {Function} CDF
 *
 * @example
@@ -43,12 +43,12 @@ var isnan = require( '@stdlib/math/base/assert/is-nan' );
 * y = cdf( 0.3 );
 * // returns ~0.59
 */
-function factory( alpha, beta ) {
+function factory( c, d ) {
 	if (
-		isnan( alpha ) ||
-		isnan( beta ) ||
-		alpha <= 0.0 ||
-		beta <= 0.0
+		isnan( c ) ||
+		isnan( d ) ||
+		c <= 0.0 ||
+		d <= 0.0
 	) {
 		return constantFunction( NaN );
 	}
@@ -69,7 +69,7 @@ function factory( alpha, beta ) {
 		if ( isnan( x ) || x <= 0.0 ) {
 			return NaN;
 		}
-		return pow( 1 + pow( x, -alpha ), -beta );
+		return pow( 1 + pow( x, -c ), -d );
 	}
 }
 
diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/lib/main.js b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/cdf/lib/main.js
@@ -27,11 +27,11 @@ var isnan = require( '@stdlib/math/base/assert/is-nan' );
 // MAIN //
 
 /**
-* Evaluates 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`.
+* Evaluates the cumulative distribution function (CDF) for a Burr (type III) distribution with first shape parameter `c` and second shape parameter `d` at a value `x`.
 *
 * @param {number} x - input value
-* @param {PositiveNumber} alpha - first shape parameter
-* @param {PositiveNumber} beta - second shape parameter
+* @param {PositiveNumber} c - first shape parameter
+* @param {PositiveNumber} d - second shape parameter
 * @returns {Probability} evaluated CDF
 *
 * @example
@@ -70,18 +70,18 @@ var isnan = require( '@stdlib/math/base/assert/is-nan' );
 * var y = cdf( 0.0, 1.0, NaN );
 * // returns NaN
 */
-function cdf( x, alpha, beta ) {
+function cdf( x, c, d ) {
 	if (
 		isnan( x ) ||
-		isnan( alpha ) ||
-		isnan( beta ) ||
-		alpha <= 0.0 ||
-		beta <= 0.0 ||
+		isnan( c ) ||
+		isnan( d ) ||
+		c <= 0.0 ||
+		d <= 0.0 ||
 		x <= 0.0
 	) {
 		return NaN;
 	}
-	return pow( 1 + pow( x, -alpha ), -beta );
+	return pow( 1 + pow( x, -c ), -d );
 }
 
 
