Essentials of Probability Theory for Statisticians

Download or Read eBook Essentials of Probability Theory for Statisticians PDF written by Michael A. Proschan and published by CRC Press. This book was released on 2016-03-23 with total page 334 pages. Available in PDF, EPUB and Kindle.
Essentials of Probability Theory for Statisticians
Author :
Publisher : CRC Press
Total Pages : 334
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ISBN-10 : 9781498704205
ISBN-13 : 1498704204
Rating : 4/5 (05 Downloads)

Book Synopsis Essentials of Probability Theory for Statisticians by : Michael A. Proschan

Book excerpt: Essentials of Probability Theory for Statisticians provides graduate students with a rigorous treatment of probability theory, with an emphasis on results central to theoretical statistics. It presents classical probability theory motivated with illustrative examples in biostatistics, such as outlier tests, monitoring clinical trials, and using adaptive methods to make design changes based on accumulating data. The authors explain different methods of proofs and show how they are useful for establishing classic probability results. After building a foundation in probability, the text intersperses examples that make seemingly esoteric mathematical constructs more intuitive. These examples elucidate essential elements in definitions and conditions in theorems. In addition, counterexamples further clarify nuances in meaning and expose common fallacies in logic. This text encourages students in statistics and biostatistics to think carefully about probability. It gives them the rigorous foundation necessary to provide valid proofs and avoid paradoxes and nonsensical conclusions.


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