Mean

Student's t distribution expected value.

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

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

Installation

npm install @stdlib/stats-base-dists-t-mean

Usage

var mean = require( '@stdlib/stats-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/stats-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 ) );
}

Notice

This package is part of stdlib, a standard library for JavaScript and Node.js, with an emphasis on numerical and scientific computing. The library provides a collection of robust, high performance libraries for mathematics, statistics, streams, utilities, and more.

For more information on the project, filing bug reports and feature requests, and guidance on how to develop stdlib, see the main project repository.

Community

License

See LICENSE.

Copyright

Copyright © 2016-2024. The Stdlib Authors.