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A Mathematical Theory of Evidence (Paperback) Loot Price: R1,088
Discovery Miles 10 880
A Mathematical Theory of Evidence (Paperback): Glenn Shafer

A Mathematical Theory of Evidence (Paperback)

Glenn Shafer

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Loot Price R1,088 Discovery Miles 10 880 | Repayment Terms: R102 pm x 12*

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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.

The 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. The 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.

General

Imprint: Princeton University Press
Country of origin: United States
Release date: April 1976
First published: April 1976
Authors: Glenn Shafer
Dimensions: 235 x 152 x 17mm (L x W x T)
Format: Paperback - Trade
Pages: 314
ISBN-13: 978-0-691-10042-5
Categories: Books > Science & Mathematics > Mathematics > Philosophy of mathematics
Books > Science & Mathematics > Mathematics > History of mathematics
Books > Science & Mathematics > Mathematics > Mathematical foundations > General
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LSN: 0-691-10042-X
Barcode: 9780691100425

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