By Glenn Shafer
Both in technological know-how and in useful affairs we cause by way of combining proof simply inconclusively supported through proof. construction on an summary realizing of this means of mix, this e-book constructs a brand new thought of epistemic chance. the idea attracts at the paintings of A. P. Dempster yet diverges from Depster's perspective by means of settling on his "lower possibilities" as epistemic percentages and taking his rule for combining "upper and reduce percentages" as basic.
The e-book opens with a critique of the well known Bayesian idea of epistemic chance. It then proceeds to strengthen a substitute for the additive set features and the rule of thumb of conditioning of the Bayesian thought: set features that want simply be what Choquet known as "monotone of order of infinity." and Dempster's rule for combining such set services. This rule, including the belief of "weights of evidence," ends up in either an in depth new idea and a greater realizing of the Bayesian thought. The booklet concludes with a quick remedy of statistical inference and a dialogue of the restrictions of epistemic chance. Appendices include mathematical proofs, that are particularly effortless and infrequently depend upon arithmetic extra complicated that the binomial theorem.
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Extra resources for A Mathematical Theory of Evidence
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A Mathematical Theory of Evidence by Glenn Shafer