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A Mathematical Theory of Evidence

Shafer, Glenn

4 ratings by Goodreads
ISBN 10: 069110042X / ISBN 13: 9780691100425
Published by Princeton University Press, 1976
Condition: Very Good+ Soft cover
From W. Lamm (Los Angeles, CA, U.S.A.)

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About this Item

From the collection of Professor L. L. Rauch with his stamp to inside cover. Tight, clean and crisp. A faint hint of shelf wear to wraps with a small remainder mark to top edge, otherwise an excellent copy. Not ex-library. Very Scarce. ; 8vo; 297 pages. Bookseller Inventory # 10755

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Bibliographic Details

Title: A Mathematical Theory of Evidence

Publisher: Princeton University Press

Publication Date: 1976

Binding: Soft Cover

Book Condition:Very Good+

Edition: First Edition.

About this title


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.

About the Author:

Glenn Shafer is professor at Rutgers University and director of the Ph.D. program.

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