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Add GrassiaIIGeometric Distribution #438

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@ColtAllen

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@ColtAllen

Migrated from pymc-devs/pymc#7733.

This distribution was derived in a research note by Hardie & Fader. It's a simple alternative to the Beta-Geometric mixture distribution, and can be easily extended to support static and time-varying covariates.

I started working on this for a CLV model in pymc-marketing, but internal discussions were in favor of adding this to pymc-extras instead because this distribution has broad application.

The research note only provides a PMF and survival function. You can walk through my whiteboarding of the log-likelihood and log-CDF in the below image:

IMG_4974

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