Mean

Student's t distribution expected value.

The expected value for a Student's t random variable is

double-struck upper E left-bracket upper X right-bracket equals 0

for degrees of freedom v greater than one. For v <= 1, the mean is not defined.

Usage

var mean = require( '@stdlib/math/base/dists/t/mean' );

mean( v )

Returns the expected value of a Student's t distribution with degrees of freedom v.

var y = mean( 9.0 );
// returns 0.0

y = mean( 1.5 );
// returns 0.0

If provided v <= 1, the function returns NaN.

var y = mean( -1.0 );
// returns NaN

y = mean( 0.8 );
// returns NaN

Examples

var randu = require( '@stdlib/random/base/randu' );
var round = require( '@stdlib/math/base/special/round' );
var mean = require( '@stdlib/math/base/dists/t/mean' );

var v;
var y;
var i;

for ( i = 0; i < 10; i++ ) {
    v = randu() * 20.0;
    y = mean( v );
    console.log( 'v: %d, E(X,v): %d', v.toFixed( 4 ), y.toFixed( 4 ) );
}