Store besparelser
Hurtig levering
Gemte
Log ind
0
Kurv
Bøger
Bestsellers
Kommer snart
Nyheder
Spil og hobby
Hjem
Kategorier
Bestsellers
Kommer snart
Nyheder
FAQ
Konto
Kontakt
Kurv
  1. Bog
  2. Matematik
  3. Matematikkens filosofi

A Mathematical Theory of Evidence

Af: Glenn Shafer Engelsk Paperback

A Mathematical Theory of Evidence

Af: Glenn Shafer Engelsk Paperback
Tjek vores konkurrenters priser

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.

Vis mere
Tjek vores konkurrenters priser
Normalpris
kr 450
Fragt: 39 kr
6 - 8 hverdage
20 kr
Pakkegebyr
God 4 anmeldelser på
Tjek vores konkurrenters priser

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.

Vis mere
Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 314
ISBN-13: 9780691100425
Indbinding: Paperback
Udgave:
ISBN-10: 069110042X
Kategori: Matematikkens filosofi
Udg. Dato: 21 apr 1976
Længde: 17mm
Bredde: 235mm
Højde: 157mm
Forlag: Princeton University Press
Oplagsdato: 21 apr 1976
Forfatter(e): Glenn Shafer
Forfatter(e) Glenn Shafer

Kategori Matematikkens filosofi

ISBN-13 9780691100425

Sprog Engelsk

Indbinding Paperback

Sider 314

Udgave

Længde 17mm

Bredde 235mm

Højde 157mm

Udg. Dato 21 apr 1976

Oplagsdato 21 apr 1976

Forlag Princeton University Press

Kategori sammenhænge