Overview

The subject of this book is the reasoning under uncertainty based on statistical evidence. The concepts are developed, explained and illustrated in the context of the mathematical theory of hints, which is a variant of the Dempster-Shafer theory of evidence. In the first two chapters, the theory of generalized functional models for a discrete parameter is developed, which leads to a general notion of weight of evidence. The second part of the book is dedicated to the study of special linear functional models called Gaussian linear systems. Finally, it is shown that the celebrated Kalman filter can easily be derived by local propagation of Gaussian hints in a Markov tree.

Full Product Details

Author:   Paul-Andre Monney
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Physica-Verlag GmbH & Co
Dimensions:   Width: 14.00cm , Height: 0.90cm , Length: 21.60cm
Weight:   0.260kg
ISBN:  

9783790815276

ISBN 10:   3790815276
Pages:   154
Publication Date:   23 October 2002
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   Awaiting stock  
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Reviews

From the reviews: The book, clearly written, is structured in two parts comprising two and six chapters, respectively. ... The overall quality of the book is very good, the material is well organized and notations and terminology are unified. It is a very good presentation of the state of research in the area of modeling reasoning and an insightful reference for the statistician. (Evdokia Xekalaki, Zentralblatt MATH, Vol. 1100 (2), 2007)

From the reviews: The book, clearly written, is structured in two parts comprising two and six chapters, respectively. ... The overall quality of the book is very good, the material is well organized and notations and terminology are unified. It is a very good presentation of the state of research in the area of modeling reasoning and an insightful reference for the statistician. (Evdokia Xekalaki, Zentralblatt MATH, Vol. 1100 (2), 2007)

From the reviews: The book, clearly written, is structured in two parts comprising two and six chapters, respectively. ... The overall quality of the book is very good, the material is well organized and notations and terminology are unified. It is a very good presentation of the state of research in the area of modeling reasoning and an insightful reference for the statistician. (Evdokia Xekalaki, Zentralblatt MATH, Vol. 1100 (2), 2007)

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