@stdlib/stats-base-dists-f-skewness

About stdlib...

We believe in a future in which the web is a preferred environment for numerical computation. To help realize this future, we've built stdlib. stdlib is a standard library, with an emphasis on numerical and scientific computation, written in JavaScript (and C) for execution in browsers and in Node.js.

The library is fully decomposable, being architected in such a way that you can swap out and mix and match APIs and functionality to cater to your exact preferences and use cases.

When you use stdlib, you can be absolutely certain that you are using the most thorough, rigorous, well-written, studied, documented, tested, measured, and high-quality code out there.

To join us in bringing numerical computing to the web, get started by checking us out on GitHub, and please consider financially supporting stdlib. We greatly appreciate your continued support!

Skewness

F distribution skewness.

The skewness for a F random variable with numerator degrees of freedom d1 and denominator degrees of freedom d2 is

for d1 > 0 and d2 > 6. Otherwise, the skewness is not defined.

Installation

npm install @stdlib/stats-base-dists-f-skewness

Usage

var skewness = require( '@stdlib/stats-base-dists-f-skewness' );

skewness( d1, d2 )

Returns the skewness of an F distribution with parameters d1 (numerator degrees of freedom) and d2 (denominator degrees of freedom).

var v = skewness( 4.0, 7.0 );
// returns ~10.614

v = skewness( 4.0, 12.0 );
// returns ~3.207

v = skewness( 8.0, 7.0 );
// returns ~10.088

If provided NaN as any argument, the function returns NaN.

var v = skewness( NaN, 7.0 );
// returns NaN

v = skewness( 3.0, NaN );
// returns NaN

If provided d1 <= 0, the function returns NaN.

var v = skewness( 0.0, 7.0 );
// returns NaN

v = skewness( -1.0, 7.0 );
// returns NaN

If provided d2 <= 6, the function returns NaN.

var v = skewness( 3.0, 6.0 );
// returns NaN

v = skewness( 3.0, 5.5 );
// returns NaN

v = skewness( 3.0, -1.0 );
// returns NaN

Examples

var uniform = require( '@stdlib/random-array-uniform' );
var logEachMap = require( '@stdlib/console-log-each-map' );
var EPS = require( '@stdlib/constants-float64-eps' );
var skewness = require( '@stdlib/stats-base-dists-f-skewness' );

var opts = {
    'dtype': 'float64'
};
var d1 = uniform( 10, EPS, 10.0, opts );
var d2 = uniform( 10, EPS, 20.0, opts );

logEachMap( 'd1: %0.4f, d2: %0.4f, skew(X;d1,d2): %0.4f', d1, d2, skewness );

---

C APIs

Usage

#include "stdlib/stats/base/dists/f/skewness.h"

stdlib_base_dists_f_skewness( d1, d2 )

Evaluates the skewness of an F distribution with parameters d1 (numerator degrees of freedom) and d2 (denominator degrees of freedom).

double out = stdlib_base_dists_f_skewness( 3.0, 7.0 );
// returns 11.0

The function accepts the following arguments:

• d1: [in] double numerator degrees of freedom.
• d2: [in] double denominator degrees of freedom.

double stdlib_base_dists_f_skewness( const double d1, const double d2 );

Examples

#include "stdlib/stats/base/dists/f/skewness.h"
#include "stdlib/constants/float64/eps.h"
#include <stdlib.h>
#include <stdio.h>

static double random_uniform( const double min, const double max ) {
    double v = (double)rand() / ( (double)RAND_MAX + 1.0 );
    return min + ( v*(max-min) );
}

int main( void ) {
    double d1;
    double d2;
    double y;
    int i;

    for ( i = 0; i < 25; i++ ) {
        d1 = random_uniform( STDLIB_CONSTANT_FLOAT64_EPS, 10.0 );
        d2 = random_uniform( STDLIB_CONSTANT_FLOAT64_EPS, 20.0 );
        y = stdlib_base_dists_f_skewness( d1, d2 );
        printf( "d1: %lf, d2: %lf, skew(X;d1,d2): %lf\n", d1, d2, y );
    }
}

---

Notice

This package is part of stdlib, a standard library for JavaScript and Node.js, with an emphasis on numerical and scientific computing. The library provides a collection of robust, high performance libraries for mathematics, statistics, streams, utilities, and more.

For more information on the project, filing bug reports and feature requests, and guidance on how to develop stdlib, see the main project repository.

Community

---

License

See LICENSE.

Copyright

Copyright 2016-2026. The Stdlib Authors.