A Mathematical Theory of Evidence 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Glenn Shafer 作者

Princeton University Press

译者

1976-4-21 出版日期

314 页数

USD 36.95 价格

Paperback

丛书系列

9780691100425 图书编码

A Mathematical Theory of Evidence 在线电子书图书标签: Dempster-Shafer 邏輯逻辑證據美國概率邏輯論概率論數學

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A Mathematical Theory of Evidence 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

A Mathematical Theory of Evidence 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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A Mathematical Theory of Evidence 在线电子书图书描述

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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