Kurtosis

Planck (discrete exponential) distribution excess kurtosis.

The excess kurtosis for a Planck random variable is

where λ is the shape parameter.

Usage

var kurtosis = require( '@stdlib/stats/base/dists/planck/kurtosis' );

kurtosis( lambda )

Returns the excess kurtosis of a Planck distribution with shape parameter lambda.

var v = kurtosis( 0.1 );
// returns ~6.0100

v = kurtosis( 1.5 );
// returns ~8.7048

If provided a shape parameter lambda which is nonpositive or NaN, the function returns NaN.

var v = kurtosis( NaN );
// returns NaN

v = kurtosis( -1.5 );
// returns NaN

Examples

var uniform = require( '@stdlib/random/array/uniform' );
var kurtosis = require( '@stdlib/stats/base/dists/planck/kurtosis' );

var lambda = uniform( 10, 0.1, 10.0 );

var v;
var i;
for ( i = 0; i < lambda.length; i++ ) {
    v = kurtosis( lambda[ i ] );
    console.log( 'λ: %d, Kurt(X;λ): %d', lambda[ i ].toFixed( 4 ), v.toFixed( 4 ) );
}