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A Mathematical Theory of Evidence by Glenn Shafer (1976, Trade Paperback)

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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.

Product Identifiers

Publisher
Princeton University Press
ISBN-10
069110042x
ISBN-13
9780691100425
eBay Product ID (ePID)
26038694407

Product Key Features

Author
Glenn Shafer
Publication Name
Mathematical Theory of Evidence
Format
Trade Paperback
Language
English
Subject
History & Philosophy, Epistemology, Probability & Statistics / General, Probability & Statistics / Bayesian Analysis
Publication Year
1976
Type
Textbook
Subject Area
Mathematics, Philosophy
Number of Pages
314 Pages

Dimensions

Item Length
9.2 in
Item Height
0.7 in
Item Width
6.1 in
Item Weight
15 Oz

Additional Product Features

LCCN
75-030208
Intended Audience
College Audience
Lc Classification Number
Qa273
Reviews
"[T]he Dempster-Shafer theory is a natural, important and useful extension of classical probability theory. . . . Shafer's book contains a wealth of significant results, and is a must for anyone who wants to do serious research on problems relating to the rules of combination of evidence in expert systems."-- Lotfi A. Zadeh, AI Magazine, [T]he Dempster-Shafer theory is a natural, important and useful extension of classical probability theory. . . . Shafer's book contains a wealth of significant results, and is a must for anyone who wants to do serious research on problems relating to the rules of combination of evidence in expert systems., "[T]he Dempster-Shafer theory is a natural, important and useful extension of classical probability theory. . . . Shafer's book contains a wealth of significant results, and is a must for anyone who wants to do serious research on problems relating to the rules of combination of evidence in expert systems." --Lotfi A. Zadeh, AI Magazine, [T]he Dempster-Shafer theory is a natural, important and useful extension of classical probability theory. . . . Shafer's book contains a wealth of significant results, and is a must for anyone who wants to do serious research on problems relating to the rules of combination of evidence in expert systems. -- Lotfi A. Zadeh, AI Magazine
Copyright Date
1976
Dewey Decimal
519.2
Dewey Edition
18
Illustrated
Yes

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A Mathematical Theory of Evidence by Glenn Shafer (1976, Trade Paperback)

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A Mathematical Theory of Evidence by Glenn Shafer (1976, Trade Paperback)

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artículo 2 Mathematical Theory of Evidence, Paperback by Shafer, Glenn, Like New Used, F...Mathematical Theory of Evidence, Paperback by Shafer, Glenn, Like New Used, F...

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artículo 1 A Mathematical Theory of Evidence (Paperback or Softback)

artículo 2 Mathematical Theory of Evidence, Paperback by Shafer, Glenn, Like New Used, F...

artículo 3 A Mathematical Theory of Evidence by Glenn Shafer (English) Paperback Book

artículo 4 Mathematical Theory of Evidence, Paperback by Shafer, Glenn, Brand New, Free ...

artículo 5 A Mathematical Theory Of Evidence: By Glenn Shafer

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