@stdlib/stats-base-dists-triangular-pdf
v0.3.1TypeScript
Triangular distribution probability density function (PDF).
0/weekUpdated 4 days agoApache-2.0Unpacked: 64.7 KB
Published by The Stdlib Authors
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Probability Density Function
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> [Triangular][triangular-distribution] distribution [probability density function][pdf] (PDF).
The [probability density function][pdf] (PDF) for a [triangular][triangular-distribution] random variable is
where a is the lower limit and b is the upper limit and c is the mode.
Installation
``bash`
npm install @stdlib/stats-base-dists-triangular-pdf
Usage
`javascript`
var pdf = require( '@stdlib/stats-base-dists-triangular-pdf' );
#### pdf( x, a, b, c )
Evaluates the [probability density function][pdf] (PDF) for a [triangular][triangular-distribution] distribution with parameters a (lower limit), b (upper limit), and c (mode).
`javascript
var y = pdf( 0.5, -1.0, 1.0, 0.0 );
// returns 0.5
y = pdf( 0.5, -1.0, 1.0, 0.5 );
// returns 1.0
y = pdf( -10.0, -20.0, 0.0, -2.0 );
// returns ~0.056
y = pdf( -2.0, -1.0, 1.0, 0.0 );
// returns 0.0
`
If provided NaN as any argument, the function returns NaN.
`javascript
var y = pdf( NaN, 0.0, 1.0, 0.5 );
// returns NaN
y = pdf( 0.0, NaN, 1.0, 0.5 );
// returns NaN
y = pdf( 0.0, 0.0, NaN, 0.5 );
// returns NaN
y = pdf( 2.0, 1.0, 0.0, NaN );
// returns NaN
`
If provided parameters not satisfying a <= c <= b, the function returns NaN.
`javascript
var y = pdf( 1.0, 1.0, 0.0, 1.5 );
// returns NaN
y = pdf( 1.0, 1.0, 0.0, -1.0 );
// returns NaN
y = pdf( 1.0, 0.0, -1.0, 0.5 );
// returns NaN
`
#### pdf.factory( a, b, c )
Returns a function for evaluating the [probability density function][pdf] (PDF) of a [triangular][triangular-distribution] distribution with parameters a (lower limit), b (upper limit) and c (mode).
`javascript
var mypdf = pdf.factory( 0.0, 10.0, 5.0 );
var y = mypdf( 2.0 );
// returns 0.08
y = mypdf( 12.0 );
// returns 0.0
`
Examples
`javascript
var randu = require( '@stdlib/random-base-randu' );
var pdf = require( '@stdlib/stats-base-dists-triangular-pdf' );
var a;
var b;
var c;
var x;
var y;
var i;
for ( i = 0; i < 25; i++ ) {
x = randu() * 30.0;
a = randu() * 10.0;
b = a + (randu() * 40.0);
c = a + ((b-a) * randu());
y = pdf( x, a, b, c );
console.log( 'x: %d, a: %d, b: %d, c: %d, f(x;a,b,c): %d', x.toFixed( 4 ), a.toFixed( 4 ), b.toFixed( 4 ), c.toFixed( 4 ), y.toFixed( 4 ) );
}
`
*
C APIs
$3
`c`
#include "stdlib/stats/base/dists/triangular/pdf.h"
#### stdlib_base_dists_triangular_pdf( x, a, b, c )
Evaluates the [probability density function][pdf] (PDF) of a [triangular][triangular-distribution] distribution with parameters a (lower limit), b (upper limit), and c (mode).
`c`
double y = stdlib_base_dists_triangular_pdf( 0.5, -1.0, 1.0, 0.0 );
// returns 0.5
The function accepts the following arguments:
- x: [in] double input value.[in] double
- a: lower limit.[in] double
- b: upper limit.[in] double
- c: mode.
`c`
double stdlib_base_dists_triangular_pdf( const double x, const double a, const double b, const double c );
$3
`c
#include "stdlib/stats/base/dists/triangular/pdf.h"
#include "stdlib/constants/float64/eps.h"
#include
#include
static double random_uniform( const double min, const double max ) {
double v = (double)rand() / ( (double)RAND_MAX + 1.0 );
return min + ( v*(max-min) );
}
int main( void ) {
double a;
double b;
double c;
double x;
double y;
int i;
for ( i = 0; i < 25; i++ ) {
x = random_uniform( 0.0, 30.0 );
a = random_uniform( 0.0, 10.0 );
b = random_uniform( a+STDLIB_CONSTANT_FLOAT64_EPS, 40.0 );
c = random_uniform( a, b );
y = stdlib_base_dists_triangular_pdf( x, a, b, c );
printf( "x: %lf, a: %lf, b: %lf, c: %lf, f(x;a,b,c): %lf\n", x, a, b, c, y );
}
}
`
*
Notice
This package is part of [stdlib][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][stdlib], see the main project [repository][stdlib].
#### Community
[![Chat][chat-image]][chat-url]
---
License
See [LICENSE][stdlib-license].
Copyright
Copyright © 2016-2026. The Stdlib [Authors][stdlib-authors].
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[pdf]: https://en.wikipedia.org/wiki/Probability_density_function
[triangular-distribution]: https://en.wikipedia.org/wiki/Triangular_distribution