## About stdlib...

We believe in a future in which the web is a preferred environment for numerical computation. To help realize this future, we've built stdlib. stdlib is a standard library, with an emphasis on numerical and scientific computation, written in JavaScript (and C) for execution in browsers and in Node.js.

The library is fully decomposable, being architected in such a way that you can swap out and mix and match APIs and functionality to cater to your exact preferences and use cases.

When you use stdlib, you can be absolutely certain that you are using the most thorough, rigorous, well-written, studied, documented, tested, measured, and high-quality code out there.

To join us in bringing numerical computing to the web, get started by checking us out on GitHub, and please consider financially supporting stdlib. We greatly appreciate your continued support!

Strictly speaking, as a discrete distribution, a degenerate has no probability density function (PDF). Extending the notion of a PDF, we conceptualize the PDF of a degenerate as an infinitely tall spike centered at `mu`

. More formally,

where `delta`

is the Dirac delta function.

`npm install @stdlib/stats-base-dists-degenerate-pdf`

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

Evaluates the PDF of a degenerate distribution centered at `mu`

.

```
var y = pdf( 2.0, 8.0 );
// returns 0.0
y = pdf( 8.0, 8.0 );
// returns Infinity
```

Returns a function for evaluating the PDF of a degenerate distribution centered at `mu`

.

```
var mypdf = pdf.factory( 10.0 );
var y = mypdf( 10.0 );
// returns Infinity
y = mypdf( 5.0 );
// returns 0.0
y = mypdf( 12.0 );
// returns 0.0
```

```
var randu = require( '@stdlib/random-base-randu' );
var round = require( '@stdlib/math-base-special-round' );
var pdf = require( '@stdlib/stats-base-dists-degenerate-pdf' );
var mu;
var x;
var y;
var i;
for ( i = 0; i < 100; i++ ) {
x = round( randu()*5.0 );
mu = round( randu()*5.0 );
y = pdf( x, mu );
console.log( 'x: %d, µ: %d, f(x;µ): %d', x, mu, y );
}
```

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.

See LICENSE.

Copyright © 2016-2024. The Stdlib Authors.