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Essentials of Probability Theory for Statisticians. 統計学者のための確率理論要説
・ISBN 978-1-4987-0419-9 2016 hard GB£ 103.99
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・ISBN 978-0-367-87163-5 2019 paper GB£ 69.99
￥22,172.- (税込) ※（※）価格はご注文時の参考価格となります。
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電子版あり 大学・学術機関向け電子ブック（eBook）ISBN 978-1-315-37057-6
| 著者・編者 | Proschan, Michael A. / Shaw, P. A., |
|---|---|
| シリーズ | Chapman & Hall/CRC Texts in Statistical Science Series |
| 出版社 | (Chapman & Hall / CRC, US) |
| ページ数 | xvi, 328 pp. |
| 言語 | ENG |
| ニュース番号 | ＜631-368＞ |
解説
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.