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E.T. Jaynes book, "Probability Theory: the Logic of Science" may come close to what you want. It emphasize that there are rules of thought, which lead to Bayes
by loup-vaillant 14y ago
E.T. Jaynes book, "Probability Theory: the Logic of Science" may come close to what you want. It emphasize that there are rules of thought, which lead to Bayesian statistics. As such, Bayesian statistics aren't just a recipe, but the law.
Now, I can only personally vouch for the first 2 chapters, as I haven't read the rest yet.
- avaku 14y agoThe greatness of this book cannot be overstated
- ph0rcyas 14y agoAgree. It is unbelievable - one has to study it to believe it.
- danso 14y agoGoing to Amazon right now... * edit: Doh, no Kindle version. I don't mind paying $90+ for a good book though, just like it to be electronic: http://www.amazon.com/Probability-Theory-The-Logic-Science/dp/0521592712 http://www.amazon.com/Probability-Theory-The-Logic-Science/d...
- dan_yall 14y agoFree pdf is available here: http://bayes.wustl.edu/etj/prob/book.pdf http://bayes.wustl.edu/etj/prob/book.pdf It's always nice to see good things come out of Wash U. (Alum here.)
- Fixnum 14y agoUnfortunately, it's only the first 95 pages.
- gwern 14y agoThere must be a fuller version floating around, though; my PDF version has 548 pages and ends with Appendix E, 'Multivariate Gaussian Integrals'. EDIT: In case anyone wants to make me feel bad about pirating, Jaynes is dead, and besides that, I bought a hardcopy as backup.
- Wilduck 14y agoI found the full text here: http://www.naturalthinker.net/trl/texts/Science/Jaynes,%20E.%20T.%20-%20Probability%20Theory%20-%20The%20Logic%20Of%20Science.pdf http://www.naturalthinker.net/trl/texts/Science/Jaynes,%20E.... The first couple pages are a bit funny looking, but after that, there are all 500+ pages. It was the fourth result on Google for me.
- incision 14y agoWell, it's available on Google Books [1], but I don't know about $63 for what appears to be a skewed scan of the print book. Personally, I searched out a PDF and based on what I've read so far, I'm itching to pull the trigger on Amazon as I'm simply loving what I'm reading. 1: http://goo.gl/UHMBi http://goo.gl/UHMBi
- Datonomics 14y agohttp://www.naturalthinker.net/trl/texts/Science/Jaynes,%20E.%20T.%20-%20Probability%20Theory%20-%20The%20Logic%20Of%20Science.pdf http://www.naturalthinker.net/trl/texts/Science/Jaynes,%20E....