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https://github.com/antononcube/raku-statistics-distributions
Raku package for statistical distributions and related random variates generations.
https://github.com/antononcube/raku-statistics-distributions
bernoulli-distribution beta-distribution binomial-distribution chi-square-distribution exponential-distribution gamma-distribution mixture-distributions normal-distribution probability probability-distributions raku rakulang statistics
Last synced: 1 day ago
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Raku package for statistical distributions and related random variates generations.
- Host: GitHub
- URL: https://github.com/antononcube/raku-statistics-distributions
- Owner: antononcube
- License: artistic-2.0
- Created: 2024-07-29T02:33:49.000Z (3 months ago)
- Default Branch: main
- Last Pushed: 2024-08-26T14:26:03.000Z (2 months ago)
- Last Synced: 2024-10-11T20:41:41.237Z (26 days ago)
- Topics: bernoulli-distribution, beta-distribution, binomial-distribution, chi-square-distribution, exponential-distribution, gamma-distribution, mixture-distributions, normal-distribution, probability, probability-distributions, raku, rakulang, statistics
- Language: Raku
- Homepage: https://raku.land/zef:antononcube/Statistics::Distributions
- Size: 56.6 KB
- Stars: 0
- Watchers: 1
- Forks: 0
- Open Issues: 0
-
Metadata Files:
- Readme: README-work.md
- License: LICENSE
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README
# Statistics::Distributions
Raku package for statistical distributions and related random variates generations.
The distributions and random variate functions of the generations of "Statistics::Distributions"
are automatically exported when ["Data::Generators"](https://raku.land/zef:antononcube/Data::Generators), [AAp1] is loaded.
-----
## Installation
From Zef ecosystem:
```
zef install Statistics::Distributions
```
From GitHub:
```
zef install https://github.com/antononcube/Raku-Statistics-Distributions.git
```
------
## Random reals
This module provides the function `random-real` that can be used to generate lists of real numbers
using the uniform distribution.
Here is a random real:
```perl6
use Statistics::Distributions;
say random-real();
```
Here is a random real between 0 and 20:
```perl6
say random-real(20);
```
Here are six random reals between -2 and 12:
```perl6
say random-real([-2,12], 6);
```
Here is a 4-by-3 array of random reals between -3 and 3:
```perl6
say random-real([-3,3], [4,3]);
```
**Remark:** The signature design follows Mathematica's function
[`RandomReal`](https://reference.wolfram.com/language/ref/RandomVariate.html).
------
## Random variates
This module provides the function `random-variate` that can be used to generate lists of real numbers
using distribution specifications.
Here are examples:
```perl6
say random-variate(BernoulliDistribution.new(:p(0.3)), 1000).BagHash.Hash;
```
```perl6
say random-variate(BinomialDistribution.new(:n(10), :p(0.2)), 10);
```
```perl6
say random-variate(NormalDistribution.new( µ => 10, σ => 20), 5);
```
```perl6
say random-variate(UniformDistribution.new(:min(2), :max(60)), 5);
```
**Remark:** Only Normal distribution and Uniform distribution are implemented at this point.
**Remark:** The signature design follows Mathematica's function
[`RandomVariate`](https://reference.wolfram.com/language/ref/RandomVariate.html).
Here is an example of 2D array generation:
```perl6
say random-variate(NormalDistribution.new, [3,4]);
```
**Remark:** The Markdown document
["Random-variate-generation-examples.md"](https://github.com/antononcube/Raku-Statistics-Distributions/blob/main/docs/Random-variate-generation-examples.md),
is a guide to generating random variates with the distributions of this package.
---------
## References
[AAp1] Anton Antonov
[Data::Generators Raku package](https://github.com/antononcube/Raku-Data-Generators),
(2021-2024),
[GitHub/antononcube](https://github.com/antononcube).