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Ask HN: Proof Based Book on Statistics
Does anyone know of a good statistics text (general overview for undergraduate or graduate level), which builds its material incrementally on proofs, and does not assume too much prior knowledge?
- tokenadult 17y agoStatistics isn't built on proofs in quite that way. It is built on data. Yes, there are proofs for the mathematical tools of statistics, but they logically and pedagogically FOLLOW rather than precede becoming familiar with data. Here are more two favorite recommendations for free Web-based resources on what statistics is as a discipline, both of which recommend good textbooks for follow-up study: "Advice to Mathematics Teachers on Evaluating Introductory Statistics Textbooks" by Robert W. Hayden http://statland.org/MyPapers/MAAFIXED.PDF http://statland.org/MyPapers/MAAFIXED.PDF "The Introductory Statistics Course: A Ptolemaic Curriculum?" by George W. Cobb http://repositories.cdlib.org/cgi/viewcontent.cgi?article=1002&context=uclastat/cts/tise http://repositories.cdlib.org/cgi/viewcontent.cgi?article=10... Both are excellent introductions to what statistics is as a discipline and how it is related to, but distinct from, mathematics. A very good list of statistics textbooks appears here: http://web.mac.com/mrmathman/MrMathMan/New_Teacher_Resources.html http://web.mac.com/mrmathman/MrMathMan/New_Teacher_Resources...
- volodia 17y agoAll Of Statistics by Larry Wasserman. The material is presented both very succinctly and rigorously, and overall it's the best statistics book I have come across.
- BrentRitterbeck 17y agoLarsen and Marx Introduction to Mathematical Statistics and Its Applications http://www.amazon.com/Introduction-Mathematical-Statistics-Its-Applications/dp/0131867938/ref=dp_ob_title_bk http://www.amazon.com/Introduction-Mathematical-Statistics-I...