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Q&A

How do these 3 bell curves of Likelihood, Posterior, Prior pictorialize the Odds form of Bayes' rule?

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I learn best visually, and I found these graph. 1. Does it furnish intuition on Theorem 2.3.5 below?

  1. E.g. Is the Likelihood Ratio always graphically left of Posterior and Prior? If so, why?

This can also be pictorially represented – the graph below shows the new posterior belief for a certain treatment has a reduced relative risk when the prior belief is combined with the data collected.

Image alt text

Image alt text

Blitzstein. Introduction to Probability (2019 2 ed). p 53.

Here are more details and better pictures of Theorem 2.3.5.

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Advice to post text and Mathjax and not images. (1 comment)

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