{"product_id":"a-mathematical-theory-of-evidence-9780691100425","title":"A Mathematical Theory of Evidence","description":"\u003cp\u003eBoth 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. \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e 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.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Glenn Shafer\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Princeton University Press\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 04\/21\/1976\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 314\u003cbr\u003e\u003cb\u003eBinding Type:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.97lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.21h x 6.14w x 0.66d\u003cbr\u003e\u003cb\u003eISBN:\u003c\/b\u003e 9780691100425\u003cbr\u003e\u003cp\u003e\u003cb\u003eAbout the Author\u003c\/b\u003e\u003cbr\u003eGlenn Shafer is professor at Rutgers University and director of the Ph.D. program.\u003cbr\u003e\u003c\/p\u003e","brand":"Princeton University Press","offers":[{"title":"Paperback","offer_id":40463812919411,"sku":"9.78E+12","price":71.95,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0555\/9255\/0515\/products\/img_f4a4cf59-ee10-494c-a9fb-24caeb0eae01.jpg?v=1663940339","url":"https:\/\/bookstorenmore.com\/en-de\/products\/a-mathematical-theory-of-evidence-9780691100425","provider":"Bookstore N More","version":"1.0","type":"link"}