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 diverg...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Shafer, Glenn, 1946- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton, N.J. : Princeton University Press, [1976]
Temas:
Evidence.
Mathematical statistics.
Probabilities.
Évidence.
Probabilités.
probability.
MATHEMATICS / History & Philosophy
Probabilities
Mathematical statistics
Evidence
Bayesian belief functions.
Granger, Thomas.
Hacking, Ian.
Jeffrey, Richard.
Keynes, John Maynard.
assessment of evidence.
chance density.
confidence sets.
decision theory.
degree of belief.
dissonance.
epistemology.
exponential function.
judgment and evidence.
likelihood.
linear models.
orthogonal sum.
plausibility.
proposition.
quasi support function.
scientific hypotheses.
statistical estimation.
test statistic.
upper probability.
Acceso en línea:Texto completo
Descripción
Sumario: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.
Descripción Física:1 online resource (xiii, 297 pages)
Bibliografía:Includes bibliographical references (P. 287-291) and index.
ISBN:9780691214696
0691214697
9780691081755
0691081751
9780691100425
069110042X

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