A Mathematical Theory of Evidence

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9780691100425: A Mathematical Theory of Evidence

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.

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About the Author:

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

Review:

"[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

"Sobre este título" puede pertenecer a otra edición de este libro.

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Glenn Shafer
Editorial: Princeton University Press (2011)
ISBN 10: 069110042X ISBN 13: 9780691100425
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Descripción Princeton University Press, 2011. PAP. Estado de conservación: New. New Book. Shipped from US within 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Nº de ref. de la librería IQ-9780691100425

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Glenn Shafer
Editorial: Princeton University Press, United States (1976)
ISBN 10: 069110042X ISBN 13: 9780691100425
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Descripción Princeton University Press, United States, 1976. Paperback. Estado de conservación: New. Language: English . Brand New Book. 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. Nº de ref. de la librería AAH9780691100425

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Glenn Shafer
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ISBN 10: 069110042X ISBN 13: 9780691100425
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Descripción Princeton University Press, United States, 1976. Paperback. Estado de conservación: New. Language: English . Brand New Book. 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. Nº de ref. de la librería AAH9780691100425

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Descripción Princeton University Press, 2011. PAP. Estado de conservación: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Nº de ref. de la librería WP-9780691100425

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Descripción Princeton University Press. Paperback. Estado de conservación: New. Paperback. 314 pages. Dimensions: 9.2in. x 6.1in. x 0.8in.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. 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 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. 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. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Paperback. Nº de ref. de la librería 9780691100425

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Descripción Estado de conservación: New. Depending on your location, this item may ship from the US or UK. Nº de ref. de la librería 97806911004250000000

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Descripción Princeton University Press, 2011. PAP. Estado de conservación: New. New Book. Delivered from our UK warehouse in 3 to 5 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Nº de ref. de la librería IQ-9780691100425

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Descripción Princeton University Press. Paperback. Estado de conservación: new. BRAND NEW, A Mathematical Theory of Evidence, Glenn Shafer, 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. Nº de ref. de la librería B9780691100425

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Shafer, Glenn
Editorial: Princeton University Press (2017)
ISBN 10: 069110042X ISBN 13: 9780691100425
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Descripción Princeton University Press, 2017. Paperback. Estado de conservación: New. This item is printed on demand. Nº de ref. de la librería 069110042X

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Glenn Shafer
Editorial: Princeton University Press (1976)
ISBN 10: 069110042X ISBN 13: 9780691100425
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Descripción Princeton University Press, 1976. Paperback. Estado de conservación: New. Nº de ref. de la librería DADAX069110042X

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