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Quantile Function
Triangular distribution quantile function.
The quantile function for a Triangular random variable is
where a
is the lower limit, b
is the upper limit and c
is the mode.
Installation
npm install @stdlib/stats-base-dists-triangular-quantile
Alternatively,
- To load the package in a website via a
script
tag without installation and bundlers, use the ES Module available on theesm
branch. - If you are using Deno, visit the
deno
branch. - For use in Observable, or in browser/node environments, use the Universal Module Definition (UMD) build available on the
umd
branch.
The branches.md file summarizes the available branches and displays a diagram illustrating their relationships.
Usage
var quantile = require( '@stdlib/stats-base-dists-triangular-quantile' );
quantile( p, a, b, c )
Evaluates the quantile function for a triangular distribution with parameters a
(lower limit), b
(upper limit) and c
(mode).
var y = quantile( 0.9, -1.0, 1.0, 0.0 );
// returns ~0.553
y = quantile( 0.1, -1.0, 1.0, 0.5 );
// returns ~-0.452
y = quantile( 0.1, -20.0, 0.0, -2.0 );
// returns -14.0
y = quantile( 0.8, 0.0, 20.0, 0.0 );
// returns ~11.056
If provided a probability p
outside the interval [0,1]
, the function returns NaN
.
var y = quantile( 1.9, 0.0, 1.0, 0.5 );
// returns NaN
y = quantile( -0.1, 0.0, 1.0, 0.5 );
// returns NaN
If provided NaN
as any argument, the function returns NaN
.
var y = quantile( NaN, 0.0, 1.0, 0.5 );
// returns NaN
y = quantile( 0.1, NaN, 1.0, 0.5 );
// returns NaN
y = quantile( 0.1, 0.0, NaN, 0.5 );
// returns NaN
y = quantile( 0.1, 0.0, 1.0, NaN );
// returns NaN
If provided parameters not satisfying a <= c <= b
, the function returns NaN
.
var y = quantile( 0.1, 1.0, 0.0, 1.5 );
// returns NaN
y = quantile( 0.1, 1.0, 0.0, -1.0 );
// returns NaN
y = quantile( 0.1, 0.0, -1.0, 0.5 );
// returns NaN
quantile.factory( a, b, c )
Returns a function for evaluating the quantile function of a triangular distribution with parameters a
(lower limit), b
(upper limit) and c
(mode).
var myquantile = quantile.factory( 2.0, 4.0, 2.5 );
var y = myquantile( 0.4 );
// returns ~2.658
y = myquantile( 0.8 );
// returns ~3.225
Examples
var randu = require( '@stdlib/random-base-randu' );
var quantile = require( '@stdlib/stats-base-dists-triangular-quantile' );
var a;
var b;
var c;
var p;
var y;
var i;
for ( i = 0; i < 25; i++ ) {
p = randu();
a = randu() * 10.0;
b = a + (randu() * 40.0);
c = a + ((b-a) * randu());
y = quantile( p, a, b, c );
console.log( 'p: %d, a: %d, b: %d, c: %d, Q(p;a,b,c): %d', p.toFixed( 4 ), a.toFixed( 4 ), b.toFixed( 4 ), c.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.