Skewness

Student's t distribution skewness.

The skewness for a Student's t random variable with degrees of freedom ν is

s k e w left-parenthesis upper X right-parenthesis equals 0

when ν > 3. Otherwise, the skewness is not defined.

Usage

var skewness = require( '@stdlib/stats/base/dists/t/skewness' );

skewness( v )

Returns the skewness of a Student's t distribution with degrees of freedom v.

var y = skewness( 9.0 );
// returns 0.0

y = skewness( 3.5 );
// returns 0.0

If provided v <= 3, the function returns NaN.

var y = skewness( -1.0 );
// returns NaN

y = skewness( 0.8 );
// returns NaN

y = skewness( 2.0 );
// returns NaN

Examples

var randu = require( '@stdlib/random/base/randu' );
var round = require( '@stdlib/math/base/special/round' );
var skewness = require( '@stdlib/stats/base/dists/t/skewness' );

var v;
var y;
var i;

for ( i = 0; i < 10; i++ ) {
    v = randu() * 20.0;
    y = skewness( v );
    console.log( 'v: %d, skew(X,v): %d', v.toFixed( 4 ), y.toFixed( 4 ) );
}
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