Quantile Function

Degenerate distribution quantile function.

The quantile function for a degenerate random variable is

for 0 <= p <= 1 and where µ is the constant value of the distribution.

Installation

npm install @stdlib/stats-base-dists-degenerate-quantile

Usage

var quantile = require( '@stdlib/stats-base-dists-degenerate-quantile' );

quantile( p, mu )

Evaluates the quantile function of a degenerate distribution centered at mu.

var y = quantile( 0.3, 8.0 );
// returns 8.0

y = quantile( 0.9, 8.0 );
// returns 8.0

quantile.factory( mu )

Returns a function for evaluating the quantile function of a degenerate distribution centered at mu.

var myquantile = quantile.factory( 10.0 );

var y = myquantile( 0.2 );
// returns 10.0

y = myquantile( 1.1 );
// returns NaN

Examples

var randu = require( '@stdlib/random-base-randu' );
var quantile = require( '@stdlib/stats-base-dists-degenerate-quantile' );

var mu;
var p;
var y;
var i;

for ( i = 0; i < 10; i++ ) {
    p = randu();
    mu = ( randu()*10.0 ) - 5.0;
    y = quantile( p, mu );
    console.log( 'p: %d, µ: %d, Q(p;µ): %d', p, mu, y );
}

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.