A Mathematical Theory of Evidence 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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Glenn Shafer 作者

Princeton University Press

譯者

1976-4-21 出版日期

314 頁數

USD 36.95 價格

Paperback

叢書系列

9780691100425 圖書編碼

A Mathematical Theory of Evidence 在線電子書圖書標籤: Dempster-Shafer 邏輯邏輯證據美國概率邏輯論概率論數學

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A Mathematical Theory of Evidence 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

A Mathematical Theory of Evidence 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

A Mathematical Theory of Evidence 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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A Mathematical Theory of Evidence 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

A Mathematical Theory of Evidence 在線電子書圖書描述

Both in science and in practical affairs we reason by combining facts only inconclusively supported by evidence. Building on an abstract understanding of this process of combination, this book constructs a new theory of epistemic probability. The theory draws on the work of A. P. Dempster but diverges from Depster's viewpoint by identifying his 'lower probabilities' as epistemic probabilities and taking his rule for combining 'upper and lower probabilities' as fundamental. This book opens with a critique of the well-known Bayesian theory of epistemic probability. It then proceeds to develop an alternative to the additive set functions and the rule of conditioning of the Bayesian theory: set functions that need only be what Choquet called 'monotone of order of infinity.' and Dempster's rule for combining such set functions. This rule, together with the idea of 'weights of evidence,' leads to both an extensive new theory and a better understanding of the Bayesian theory. This book concludes with a brief treatment of statistical inference and a discussion of the limitations of epistemic probability. Appendices contain mathematical proofs, which are relatively elementary and seldom depend on mathematics more advanced that the binomial theorem.

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