Mean

Planck distribution expected value.

The expected value for a Planck random variable is

where λ is the shape parameter.

Usage

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

mean( lambda )

Returns the expected value of a Planck distribution with shape parameter lambda.

var v = mean( 0.1 );
// returns ~9.5083

v = mean( 0.5 );
// returns ~1.5415

If provided a shape parameter lambda which is nonpositive or NaN, the function returns NaN.

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

v = mean( -1.5 );
// returns NaN

Examples

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

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

var v;
var i;
for ( i = 0; i < 10; i++ ) {
    v = mean( lambda[ i ] );
    console.log( 'λ: %d, E(X;λ): %d', lambda[ i ].toFixed( 4 ), v.toFixed( 4 ) );
}