Standard Deviation

Planck distribution standard deviation.

The standard deviation for a Planck random variable is

sigma equals StartFraction StartRoot e Superscript negative lamda Baseline EndRoot Over 1 minus e Superscript negative lamda Baseline EndFraction

where λ is the shape parameter.

Usage

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

stdev( lambda )

Returns the standard deviation of a Planck distribution with shape parameter λ.

var v = stdev( 0.1 );
// returns ~9.9958

v = stdev( 1.5 );
// returns ~0.6080

If provided a success probability λ which is nonpositive, the function returns NaN.

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

v = stdev( -1.1 );
// returns NaN

Examples

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

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

var v;
var i;
for ( i = 0; i < lambda.length; i++ ) {
    v = stdev( lambda[ i ] );
    console.log( 'λ: %d, SD(X;λ): %d', lambda[ i ].toFixed( 4 ), v.toFixed( 4 ) );
}
Did you find this page helpful?