A Mathematical Theory of Evidence is popular PDF and ePub book, written by Glenn Shafer in 2020-06-30, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, A Mathematical Theory of Evidence can be Read Online from any device for your convenience.
A Mathematical Theory of Evidence Book PDF Summary
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.
Detail Book of A Mathematical Theory of Evidence PDF
- Author : Glenn Shafer
- Release : 30 June 2020
- Publisher : Princeton University Press
- ISBN : 9780691214696
- Genre : Mathematics
- Total Page : null pages
- Language : English
- PDF File Size : 13,8 Mb
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