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README.md |
Mode
Kumaraswamy's double bounded distribution mode.
The mode for a Kumaraswamy's double bounded random variable with first shape parameter a
and second shape parameter b
is
for a >= 1
, b >=1
and not a = b = 1
.
Usage
var mode = require( '@stdlib/stats/base/dists/kumaraswamy/mode' );
mode( a, b )
Returns the mode of a Kumaraswamy's double bounded distribution with first shape parameter a
and second shape parameter b
.
var v = mode( 1.5, 1.5 );
// returns ~0.543
v = mode( 4.0, 12.0 );
// returns ~0.503
v = mode( 2.0, 8.0 );
// returns ~0.258
If provided NaN
as any argument, the function returns NaN
.
var v = mode( NaN, 2.0 );
// returns NaN
v = mode( 2.0, NaN );
// returns NaN
If provided a = 1
and b = 1
, the function returns NaN
.
var y = mode( 1.0, 1.0 );
// returns NaN
If provided a < 1
, the function returns NaN
.
var y = mode( -1.0, 2.0 );
// returns NaN
y = mode( 0.0, 2.0 );
// returns NaN
If provided b < 1
, the function returns NaN
.
var y = mode( 2.0, -1.0 );
// returns NaN
y = mode( 2.0, 0.0 );
// returns NaN
Examples
var randu = require( '@stdlib/random/base/randu' );
var mode = require( '@stdlib/stats/base/dists/kumaraswamy/mode' );
var a;
var b;
var v;
var i;
for ( i = 0; i < 10; i++ ) {
a = randu() * 10.0;
b = randu() * 10.0;
v = mode( a, b );
console.log( 'a: %d, b: %d, mode(X;a,b): %d', a.toFixed( 4 ), b.toFixed( 4 ), v.toFixed( 4 ) );
}