Median
The median for a Cauchy random variable with location parameter x0 and scale parameter Ɣ > 0 is
Usage
var median = require( '@stdlib/stats/base/dists/cauchy/median' );
median( x0, gamma )
Returns the median of a Cauchy distribution with location parameter x0 and scale parameter gamma.
var v = median( 10.0, 5.0 );
// returns 10.0
v = median( 7.0, 2.0 );
// returns 7.0
If provided NaN as any argument, the function returns NaN.
var v = median( NaN, 5.0 );
// returns NaN
v = median( 20.0, NaN );
// returns NaN
If provided gamma <= 0, the function returns NaN.
var v = median( 1.0, -1.0 );
// returns NaN
v = median( 1.0, 0.0 );
// returns NaN
Examples
var randu = require( '@stdlib/random/base/randu' );
var EPS = require( '@stdlib/constants/float64/eps' );
var median = require( '@stdlib/stats/base/dists/cauchy/median' );
var gamma;
var x0;
var v;
var i;
for ( i = 0; i < 10; i++ ) {
x0 = randu() * 100.0;
gamma = ( randu()*10.0 ) + EPS;
v = median( x0, gamma );
console.log( 'x0: %d, γ: %d, Median(X;x0,γ): %d', x0.toFixed( 4 ), gamma.toFixed( 4 ), v.toFixed( 4 ) );
}