# distribution-algebra
A python package that implements an easy-to-use interface for random
variables, statistical distributions, and their algebra.
This Python package is brought to you by [Vaibhav Karve](https://vaibhavkarve.github.io).
`distribution-algebra` recognizes Normal, Lognormal, Beta and Poisson
distributions. The package implements an interface to easily construct
user-defined Univariate distributions as well Vectorized distributions.
Additional features include:
- A `plot` function for probability density/mass function plotting.
- A `draw` function for drawing random samples of specified size from a given distribution.
- Addition and multiplication operations defined directly on distributions:
- For example, the sum of two Normal (Poisson) distributions is Normal (Poisson).
- The product of two Lognormal distributions is Lognormal.
- The sum of two arbitrary univariate distributions is expressed as a Vectorized distribution.
This package is written in Python v3.10, and is publicly available
under the [GNU-GPL-v3.0
license](https://github.com/vaibhavkarve/normal-form/blob/main/LICENSE).
# Installation and usage
To get started on using this package,
1. Install Python 3.10 or higher.
2. `python3.10 -m pip install distribution-algebra`
3. Use it in a python script (or interactive REPL)
```python
from distribution_algebra import Beta, Lognormal, Normal, Poisson
x: Normal = Normal(mean=1.0, var=9.0)
y: Normal = Normal(mean=1.0, var=16.0)
assert x + y == Normal(mean=2.0, var=25.0)
```
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