A Mathematical Theory Of Hints

Author : Juerg Kohlas
Publisher : Springer Science & Business Media
ISBN 13 : 3662016745
Total Pages : 430 pages
Book Rating : 4.49/5 ( download)

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Download or read book A Mathematical Theory of Hints written by Juerg Kohlas and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: An approach to the modeling of and the reasoning under uncertainty. The book develops the Dempster-Shafer Theory with regard to the reliability of reasoning with uncertain arguments. Of particular interest here is the development of a new synthesis and the integration of logic and probability theory. The reader benefits from a new approach to uncertainty modeling which extends classical probability theory.

Author : Jürg Kohlas
Publisher :
ISBN 13 :
Total Pages : 526 pages
Book Rating : 4.18/5 ( download)

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Download or read book A Mathematical Theory of Hints written by Jürg Kohlas and published by . This book was released on 1871 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Jürg Kohlas
Publisher :
ISBN 13 :
Total Pages : 46 pages
Book Rating : 4.89/5 ( download)

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Download or read book A Mathematical Theory of Hints written by Jürg Kohlas and published by . This book was released on 1990 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Glenn Shafer
Publisher : Princeton University Press
ISBN 13 : 0691214697
Total Pages : pages
Book Rating : 4.96/5 ( download)

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Download or read book A Mathematical Theory of Evidence written by Glenn Shafer and published by Princeton University Press. This book was released on 2020-06-30 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Jürg Kohlas
Publisher :
ISBN 13 :
Total Pages : 1190 pages
Book Rating : 4.18/5 ( download)

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Download or read book A Mathematical Theory of Hints written by Jürg Kohlas and published by . This book was released on 1904 with total page 1190 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Richard Friedberg
Publisher : Courier Corporation
ISBN 13 : 0486152693
Total Pages : 241 pages
Book Rating : 4.91/5 ( download)

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Download or read book An Adventurer's Guide to Number Theory written by Richard Friedberg and published by Courier Corporation. This book was released on 2012-07-06 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: This witty introduction to number theory deals with the properties of numbers and numbers as abstract concepts. Topics include primes, divisibility, quadratic forms, and related theorems.

Author : Seán Dineen
Publisher : American Mathematical Soc.
ISBN 13 : 0821894900
Total Pages : 323 pages
Book Rating : 4.03/5 ( download)

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Download or read book Probability Theory in Finance written by Seán Dineen and published by American Mathematical Soc.. This book was released on 2013-05-22 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: The use of the Black-Scholes model and formula is pervasive in financial markets. There are very few undergraduate textbooks available on the subject and, until now, almost none written by mathematicians. Based on a course given by the author, the goal of

Author : Mohammad Ali Tabataba Vakili
Publisher :
ISBN 13 :
Total Pages : 139 pages
Book Rating : 4.68/5 ( download)

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Download or read book Approximation of hints written by Mohammad Ali Tabataba Vakili and published by . This book was released on 1995 with total page 139 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Colin Conrad Adams
Publisher : American Mathematical Soc.
ISBN 13 : 0821836781
Total Pages : 330 pages
Book Rating : 4.81/5 ( download)

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Download or read book The Knot Book written by Colin Conrad Adams and published by American Mathematical Soc.. This book was released on 2004 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: Knots are familiar objects. Yet the mathematical theory of knots quickly leads to deep results in topology and geometry. This work offers an introduction to this theory, starting with our understanding of knots. It presents the applications of knot theory to modern chemistry, biology and physics.

Author : Jan Kåhre
Publisher : Springer Science & Business Media
ISBN 13 : 9781402070648
Total Pages : 528 pages
Book Rating : 4.40/5 ( download)

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Download or read book The Mathematical Theory of Information written by Jan Kåhre and published by Springer Science & Business Media. This book was released on 2002-06-30 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: The general concept of information is here, for the first time, defined mathematically by adding one single axiom to the probability theory. This Mathematical Theory of Information is explored in fourteen chapters: 1. Information can be measured in different units, in anything from bits to dollars. We will here argue that any measure is acceptable if it does not violate the Law of Diminishing Information. This law is supported by two independent arguments: one derived from the Bar-Hillel ideal receiver, the other is based on Shannon's noisy channel. The entropy in the 'classical information theory' is one of the measures conforming to the Law of Diminishing Information, but it has, however, properties such as being symmetric, which makes it unsuitable for some applications. The measure reliability is found to be a universal information measure. 2. For discrete and finite signals, the Law of Diminishing Information is defined mathematically, using probability theory and matrix algebra. 3. The Law of Diminishing Information is used as an axiom to derive essential properties of information. Byron's law: there is more information in a lie than in gibberish. Preservation: no information is lost in a reversible channel. Etc. The Mathematical Theory of Information supports colligation, i. e. the property to bind facts together making 'two plus two greater than four'. Colligation is a must when the information carries knowledge, or is a base for decisions. In such cases, reliability is always a useful information measure. Entropy does not allow colligation.