Mode

Bernoulli distribution mode.

The mode for a Bernoulli random variable is

upper M o d e left-parenthesis upper X right-parenthesis equals StartLayout Enlarged left-brace 1st Row 1st Column 0 2nd Column if p less-than 1 slash 2 2nd Row 1st Column 0 comma 1 2nd Column if p equals 1 slash 2 3rd Row 1st Column 1 2nd Column if p greater-than 1 slash 2 EndLayout

where p is the success probability.

Usage

var mode = require( '@stdlib/stats/base/dists/bernoulli/mode' );

mode( p )

Returns the mode of a Bernoulli distribution with success probability p.

var v = mode( 0.1 );
// returns 0

v = mode( 0.5 );
// returns 0

v = mode( 0.8 );
// returns 1

If provided a success probability p outside of [0,1], the function returns NaN.

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

v = mode( 1.5 );
// returns NaN

v = mode( -1.0 );
// returns NaN

Notes

  • For p = 0.5, the mode is either 0 or 1. This implementation returns 0 for p = 0.5.

Examples

var randu = require( '@stdlib/random/base/randu' );
var round = require( '@stdlib/math/base/special/round' );
var mode = require( '@stdlib/stats/base/dists/bernoulli/mode' );

var v;
var i;
var p;

for ( i = 0; i < 10; i++ ) {
    p = randu();
    v = mode( p );
    console.log( 'p: %d, Mode(X;p): %d', p.toFixed( 4 ), v.toFixed( 4 ) );
}
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