chore: update implementation

---
type: pre_commit_static_analysis_report
description: Results of running static analysis checks when committing changes.
report:
  - task: lint_filenames
    status: passed
  - task: lint_editorconfig
    status: passed
  - task: lint_markdown
    status: passed
  - task: lint_package_json
    status: na
  - task: lint_repl_help
    status: na
  - task: lint_javascript_src
    status: passed
  - task: lint_javascript_cli
    status: na
  - task: lint_javascript_examples
    status: na
  - task: lint_javascript_tests
    status: na
  - task: lint_javascript_benchmarks
    status: na
  - task: lint_python
    status: na
  - task: lint_r
    status: na
  - task: lint_c_src
    status: missing_dependencies
  - task: lint_c_examples
    status: missing_dependencies
  - task: lint_c_benchmarks
    status: na
  - task: lint_c_tests_fixtures
    status: na
  - task: lint_shell
    status: na
  - task: lint_typescript_declarations
    status: na
  - task: lint_typescript_tests
    status: na
  - task: lint_license_headers
    status: passed
---

Author: ShabiShett07

lib/node_modules/@stdlib/stats/base/dists/beta/mgf/README.md

@@ -190,7 +190,7 @@ logEachMap( 't: %0.4f, α: %0.4f, β: %0.4f, M_X(t;α,β): %0.4f', t, alpha, bet
 
 #### stdlib_base_dists_beta_mgf( t, alpha, beta )
 
-Returns the [mgf][mgf] of a [beta][beta-distribution] distribution with parameters `alpha` (first shape parameter) and `beta` (second shape parameter) with input value `t`.
+Evaluates the [moment-generating function][mgf] (MGF) for a [beta][beta-distribution] distribution with parameters `alpha` (first shape parameter) and `beta` (second shape parameter).
 
 ```c
 double y = stdlib_base_dists_beta_mgf( 0.5, 1.0, 1.0 );
@@ -247,7 +247,7 @@ int main( void ) {
         alpha = random_uniform( 1.0 + STDLIB_CONSTANT_FLOAT64_EPS, 100.0 );
         beta = random_uniform( 1.0 + STDLIB_CONSTANT_FLOAT64_EPS, 100.0 );
         y = stdlib_base_dists_beta_mgf( alpha, beta );
-        printf( "t: %lf, alpha: %lf, beta: %lf, mgf(X;t,alpha,beta): %lf\n", t alpha, beta, y );
+        printf( "t: %lf, α: %lf, β: %lf, M_X(t;α,β): %lf\n", t, alpha, beta, y );
     }
 }
 ```

lib/node_modules/@stdlib/stats/base/dists/beta/mgf/examples/c/example.c

@@ -38,6 +38,6 @@ int main( void ) {
 		alpha = random_uniform( 1.0 + STDLIB_CONSTANT_FLOAT64_EPS, 100.0 );
 		beta = random_uniform( 1.0 + STDLIB_CONSTANT_FLOAT64_EPS, 100.0 );
 		y = stdlib_base_dists_beta_mgf( t, alpha, beta );
-		printf( "t: %lf, alpha: %lf, beta: %lf, mgf(X;t,alpha,beta): %lf\n", t, alpha, beta, y );
+		printf( "t: %lf, α: %lf, β: %lf, M_X(t;α,β): %lf\n", t, alpha, beta, y );
 	}
 }

lib/node_modules/@stdlib/stats/base/dists/beta/mgf/include/stdlib/stats/base/dists/beta/mgf.h

@@ -27,7 +27,7 @@ extern "C" {
 #endif
 
 /**
-* Returns the mgf of a beta distribution.
+* Evaluates the moment-generating function (MGF) for a beta distribution with first shape parameter `alpha` and second shape parameter `beta` at a value `t`.
 */
 double stdlib_base_dists_beta_mgf( const double t, const double alpha, const double beta );
 

lib/node_modules/@stdlib/stats/base/dists/beta/mgf/lib/native.js

@@ -28,6 +28,7 @@ var addon = require( './../src/addon.node' );
 /**
 * Evaluates the moment-generating function (MGF) for a beta distribution with first shape parameter `alpha` and second shape parameter `beta` at a value `t`.
 *
+* @private
 * @param {number} t - input value
 * @param {PositiveNumber} alpha - first shape parameter
 * @param {PositiveNumber} beta - second shape parameter

lib/node_modules/@stdlib/stats/base/dists/beta/mgf/src/main.c

@@ -32,7 +32,7 @@
 * @param t      input value
 * @param alpha  first shape parameter
 * @param beta   second shape parameter
-* @returns      evaluated MGF
+* @return       evaluated MGF
 *
 * @example
 * double y = stdlib_base_dists_beta_mgf( 0.5, 1.0, 1.0 );