Median

Planck (discrete exponential) distribution median.

The median for a Planck random variable is

upper M e d i a n left-parenthesis upper X right-parenthesis equals left ceiling minus StartFraction ln left-parenthesis 0.5 right-parenthesis Over lamda EndFraction minus 1 right ceiling

where λ is the shape parameter.

Usage

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

median( lambda )

Returns the median of a Planck distribution with shape parameter lambda.

var v = median( 0.1 );
// returns 6

v = median( 1.5 );
// returns 0

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

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

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

Examples

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

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

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