Sunday, August 11, 2013

The Theory that Would Not Die by Sharon Bertsch


About Bayesian statistics. This is a very interesting history of Bayes and his descendants. It is very complete and descriptive. It is perfect in this regard.

It does not take up the mathematics in any substantial way. It does develop the idea of "priors" very well and shows their importance. There are a few simple examples of uses, such as breast cancer screening, but not even basic sketches of how it is actually applied. I think it is possible to do this in a popular book. Also, I was wondering more about the possibility of a mathematical synthesis between the Bayes school and the frequentist school. This was discussed at length but mostly in terms of personalities and competition. Are there situations where the solutions merge?

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