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A python package that implements an easy-to-use interface for random variables, statistical distributions, and their algebra.

License Python:v3.10

This Python package is brought to you by Vaibhav Karve.

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.

Example plot

This package is written in Python v3.10, and is available for installation from PyPI under the GNU-GPL-v3.0 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)
Example showing addition of two Normal distributions
from distribution_algebra import Normal  # (1)!

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)
  1. You can similarly import other distributions as from distribution_algebra import Normal, Beta, Lognormal, Beta4, Poisson.