Today I released a new version of my twopiece Python package in pip. It now supports the three families of two-piece distributions: Scale, Shape (new!)
and Double (new!).
The Two Piece Normal Distribution
The two-piece normal, also called split normal, binormal, or double-Gaussian, results from joining at the mode the corresponding halves of two normal distributions with the same mode but different standard deviations.
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Brief History of the Two-Piece Normal
A brief recollection of the history of the two-piece normal distribution discovery: 119 years from the first publication of Gustav Fechner original work until its latest re-discovery.
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Comparing Box-Muller and Marsaglia-Bray
In this post we compare the performance of our Python implementation for two popular methods to simulate samples from a pair of independent normal random variables: Box-Muller and Marsaglia-Bray.
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Simulating Normal Random Variables
Two simple ways to simulate a pair of independent standard normal distributions with Python code.
– Box-Muller Transform
– Marsaglia-Bray Transform