Median

Exponential distribution median.

The median for an exponential random variable is

upper M e d i a n left-parenthesis upper X right-parenthesis equals lamda Superscript negative 1 Baseline ln left-parenthesis 2 right-parenthesis

where λ is the rate parameter.

Usage

var median = require( '@stdlib/math/base/dists/exponential/median' );

median( lambda )

Returns the median of a exponential distribution with rate parameter lambda.

var v = median( 9.0 );
// returns ~0.077

v = median( 0.5 );
// returns ~1.386

If provided lambda < 0, the function returns NaN.

var v = median( -1.0 );
// returns NaN

Examples

var randu = require( '@stdlib/random/base/randu' );
var round = require( '@stdlib/math/base/special/round' );
var median = require( '@stdlib/math/base/dists/exponential/median' );

var lambda;
var v;
var i;

for ( i = 0; i < 10; i++ ) {
    lambda = randu() * 20.0;
    v = median( lambda );
    console.log( 'λ: %d, Median(X;λ): %d', lambda.toFixed( 4 ), v.toFixed( 4 ) );
}