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https://github.com/alexpghayes/distributions3

Probability Distributions as S3 Objects
https://github.com/alexpghayes/distributions3

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Probability Distributions as S3 Objects

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README

        

---
output: github_document
---

```{r, include = FALSE}
knitr::opts_chunk$set(
collapse = TRUE,
comment = "#>",
fig.path = "man/figures/README-",
out.width = "100%",
message = FALSE,
warning = FALSE
)
```

# distributions3

[![CRAN status](https://www.r-pkg.org/badges/version/distributions3)](https://cran.r-project.org/package=distributions3)
[![Codecov test coverage](https://codecov.io/gh/alexpghayes/distributions3/branch/main/graph/badge.svg)](https://app.codecov.io/gh/alexpghayes/distributions3?branch=main)
[![R-CMD-check](https://github.com/alexpghayes/distributions3/actions/workflows/R-CMD-check.yaml/badge.svg)](https://github.com/alexpghayes/distributions3/actions/workflows/R-CMD-check.yaml)

`distributions3`, inspired by the [eponynmous Julia package](https://github.com/JuliaStats/Distributions.jl), provides a generic function interface to probability distributions. `distributions3` has two goals:

1. Replace the `rnorm()`, `pnorm()`, etc, family of functions with S3 methods for distribution objects

2. Be extremely well documented and friendly for students in intro stat classes.

The main generics are:

- `random()`: Draw samples from a distribution.
- `pdf()`: Evaluate the probability density (or mass) at a point.
- `cdf()`: Evaluate the cumulative probability up to a point.
- `quantile()`: Determine the quantile for a given probability. Inverse of `cdf()`.

## Installation

You can install `distributions3` with:

``` r
install.packages("distributions3")
```

You can install the development version with:

``` r
install.packages("devtools")
devtools::install_github("alexpghayes/distributions3")
```

## Basic Usage

The basic usage of `distributions3` looks like:

```{r}
library("distributions3")

X <- Bernoulli(0.1)

random(X, 10)
pdf(X, 1)

cdf(X, 0)
quantile(X, 0.5)
```

Note that `quantile()` **always** returns lower tail probabilities. If you aren't sure what this means, please read the last several paragraphs of `vignette("one-sample-z-confidence-interval")` and have a gander at the plot.

## Contributing

If you are interested in contributing to `distributions3`, please reach out on Github! We are happy to review PRs contributing bug fixes.

Please note that `distributions3` is released with a
[Contributor Code of Conduct](https://alexpghayes.github.io/distributions3/CODE_OF_CONDUCT.html). By contributing to this project, you agree to abide by its terms.

## Related work

For a comprehensive overview of the many packages providing various distribution related functionality see the [CRAN Task View](https://cran.r-project.org/view=Distributions).

- [`distributional`](https://cran.r-project.org/package=distributional) provides distribution objects as vectorized S3 objects
- [`distr6`](https://cran.r-project.org/package=distr6) builds on `distr`, but uses R6 objects
- [`distr`](https://cran.r-project.org/package=distr) is quite similar to `distributions`, but uses S4 objects and is less focused on documentation.
- [`fitdistrplus`](https://cran.r-project.org/package=fitdistrplus) provides extensive functionality for fitting various distributions but does not treat distributions themselves as objects