Discrete uniform distribution.
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> Discrete uniform distribution.
``bash`
npm install @stdlib/stats-base-dists-discrete-uniform
`javascript`
var discreteUniform = require( '@stdlib/stats-base-dists-discrete-uniform' );
#### discreteUniform
Discrete uniform distribution.
`javascript`
var dist = discreteUniform;
// returns {...}
The namespace contains the following distribution functions:
- [cdf( x, a, b )][@stdlib/stats/base/dists/discrete-uniform/cdf]: discrete uniform distribution cumulative distribution function.
- [logcdf( x, a, b )][@stdlib/stats/base/dists/discrete-uniform/logcdf]: evaluate the natural logarithm of the cumulative distribution function for a discrete uniform distribution.
- [logpmf( x, a, b )][@stdlib/stats/base/dists/discrete-uniform/logpmf]: evaluate the natural logarithm of the probability mass function (PMF) for a discrete uniform distribution.
- [mgf( t, a, b )][@stdlib/stats/base/dists/discrete-uniform/mgf]: discrete uniform distribution moment-generating function (MGF).
- [pmf( x, a, b )][@stdlib/stats/base/dists/discrete-uniform/pmf]: discrete uniform distribution probability mass function (PMF).
- [quantile( p, a, b )][@stdlib/stats/base/dists/discrete-uniform/quantile]: discrete uniform distribution quantile function.
The namespace contains the following functions for calculating distribution properties:
- [entropy( a, b )][@stdlib/stats/base/dists/discrete-uniform/entropy]: discrete uniform distribution entropy.
- [kurtosis( a, b )][@stdlib/stats/base/dists/discrete-uniform/kurtosis]: discrete uniform distribution excess kurtosis.
- [mean( a, b )][@stdlib/stats/base/dists/discrete-uniform/mean]: discrete uniform distribution expected value.
- [median( a, b )][@stdlib/stats/base/dists/discrete-uniform/median]: discrete uniform distribution median.
- [skewness( a, b )][@stdlib/stats/base/dists/discrete-uniform/skewness]: discrete uniform distribution skewness.
- [stdev( a, b )][@stdlib/stats/base/dists/discrete-uniform/stdev]: discrete uniform distribution standard deviation.
- [variance( a, b )][@stdlib/stats/base/dists/discrete-uniform/variance]: discrete uniform distribution variance.
The namespace contains a constructor function for creating a [discrete uniform][discrete-uniform-distribution] distribution object.
- [DiscreteUniform( [a, b] )][@stdlib/stats/base/dists/discrete-uniform/ctor]: discrete uniform distribution constructor.
`javascript
var DiscreteUniform = require( '@stdlib/stats-base-dists-discrete-uniform' ).DiscreteUniform;
var dist = new DiscreteUniform( 2, 4 );
var y = dist.pmf( 3, 0 );
// returns ~0.333
`
`javascript
var objectKeys = require( '@stdlib/utils-keys' );
var discreteUniform = require( '@stdlib/stats-base-dists-discrete-uniform' );
console.log( objectKeys( discreteUniform ) );
`
*
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].
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---
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[discrete-uniform-distribution]: https://en.wikipedia.org/wiki/Discrete_uniform_distribution
[@stdlib/stats/base/dists/discrete-uniform/ctor]: https://www.npmjs.com/package/@stdlib/stats-base-dists-discrete-uniform-ctor
[@stdlib/stats/base/dists/discrete-uniform/entropy]: https://www.npmjs.com/package/@stdlib/stats-base-dists-discrete-uniform-entropy
[@stdlib/stats/base/dists/discrete-uniform/kurtosis]: https://www.npmjs.com/package/@stdlib/stats-base-dists-discrete-uniform-kurtosis
[@stdlib/stats/base/dists/discrete-uniform/mean]: https://www.npmjs.com/package/@stdlib/stats-base-dists-discrete-uniform-mean
[@stdlib/stats/base/dists/discrete-uniform/median]: https://www.npmjs.com/package/@stdlib/stats-base-dists-discrete-uniform-median
[@stdlib/stats/base/dists/discrete-uniform/skewness]: https://www.npmjs.com/package/@stdlib/stats-base-dists-discrete-uniform-skewness
[@stdlib/stats/base/dists/discrete-uniform/stdev]: https://www.npmjs.com/package/@stdlib/stats-base-dists-discrete-uniform-stdev
[@stdlib/stats/base/dists/discrete-uniform/variance]: https://www.npmjs.com/package/@stdlib/stats-base-dists-discrete-uniform-variance
[@stdlib/stats/base/dists/discrete-uniform/cdf]: https://www.npmjs.com/package/@stdlib/stats-base-dists-discrete-uniform-cdf
[@stdlib/stats/base/dists/discrete-uniform/logcdf]: https://www.npmjs.com/package/@stdlib/stats-base-dists-discrete-uniform-logcdf
[@stdlib/stats/base/dists/discrete-uniform/logpmf]: https://www.npmjs.com/package/@stdlib/stats-base-dists-discrete-uniform-logpmf
[@stdlib/stats/base/dists/discrete-uniform/mgf]: https://www.npmjs.com/package/@stdlib/stats-base-dists-discrete-uniform-mgf
[@stdlib/stats/base/dists/discrete-uniform/pmf]: https://www.npmjs.com/package/@stdlib/stats-base-dists-discrete-uniform-pmf
[@stdlib/stats/base/dists/discrete-uniform/quantile]: https://www.npmjs.com/package/@stdlib/stats-base-dists-discrete-uniform-quantile