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Bayesian Analysis with Python. - Second Edition

You're reading from  Bayesian Analysis with Python. - Second Edition

Product type Book
Published in Dec 2018
Publisher Packt
ISBN-13 9781789341652
Pages 356 pages
Edition 2nd Edition
Languages
Author (1):
Osvaldo Martin Osvaldo Martin
Profile icon Osvaldo Martin

Table of Contents (11) Chapters

Preface Thinking Probabilistically Programming Probabilistically Modeling with Linear Regression Generalizing Linear Models Model Comparison Mixture Models Gaussian Processes Inference Engines Where To Go Next?
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Continuous mixtures

This chapter was focused on discrete mixture models but we can also have continuous mixture models. And indeed we already know some of them, like the zero-inflated distribution from Chapter 4, Generalizing Linear Models, where we had a mixture of a Poisson distribution and a zero-generating process. Another example was the robust logistic regression model from the same chapter, that model is a mixture of two components: a logistic on one hand and a random guessing on the other. Note that the parameter is not an on/off switch, but instead is more like a mix-knob controlling how much random guessing and how much logistic regression we have in the mix. Only for extreme values of do we have a pure random-guessing or pure logistic regression.

Hierarchical models can be also be interpreted as continuous mixture models where the parameters in each group come from...

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