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Essentials of Probability Theory for Statisticians

Essentials of Probability Theory for Statisticians - Chapman & Hall/CRC Texts in Statistical Science

1st edition

Paperback (10 Dec 2019)

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Publisher's Synopsis

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.

Book information

ISBN: 9780367871635
Publisher: CRC Press
Imprint: Chapman & Hall/CRC
Pub date:
Edition: 1st edition
DEWEY: 519.201
DEWEY edition: 22
Language: English
Number of pages: 328
Weight: 453g
Height: 254mm
Width: 178mm
Spine width: 18mm