Description: Mathematical Theory of Evidence, Paperback by Shafer, Glenn, ISBN 069110042X, ISBN-13 9780691100425, Like New Used, Free shipping in the US
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 Depsters viewpoint by identifying his "lower probabilities" as epistemic probabilities and taking his rule for combining "upper and lower probabilities" as fundamental.
Th 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 Dempsters 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. Th 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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Book Title: Mathematical Theory of Evidence
Number of Pages: 314 Pages
Language: English
Publication Name: Mathematical Theory of Evidence
Publisher: Princeton University Press
Publication Year: 1976
Item Height: 0.7 in
Subject: History & Philosophy, Epistemology, Probability & Statistics / General, Probability & Statistics / Bayesian Analysis
Item Weight: 15 Oz
Type: Textbook
Subject Area: Mathematics, Philosophy
Author: Glenn Shafer
Item Length: 9.1 in
Item Width: 6.6 in
Format: Trade Paperback
