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Chi-squared distribution excess kurtosis.
The excess kurtosis for a chi-squared random variable is
where k > 0
is the degrees of freedom.
npm install @stdlib/stats-base-dists-chisquare-kurtosis
var kurtosis = require( '@stdlib/stats-base-dists-chisquare-kurtosis' );
Returns the excess kurtosis of a chi-squared distribution with degrees of freedom k
.
var v = kurtosis( 9.0 );
// returns ~1.333
v = kurtosis( 0.5 );
// returns 24.0
If provided k <= 0
, the function returns NaN
.
var v = kurtosis( -1.0 );
// returns NaN
var randu = require( '@stdlib/random-base-randu' );
var round = require( '@stdlib/math-base-special-round' );
var kurtosis = require( '@stdlib/stats-base-dists-chisquare-kurtosis' );
var k;
var v;
var i;
for ( i = 0; i < 10; i++ ) {
k = randu() * 20.0;
v = kurtosis( k );
console.log( 'k: %d, Kurt(X,k): %d', k.toFixed( 4 ), v.toFixed( 4 ) );
}
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