Conditional Independence in Applied Probability
Pfeiffer, P.E.
ISBN 10: 1461263379 ISBN 13: 9781461263371
Published by Springer-Verlag New York Inc., 2011
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Series: Modules and Monographs in Undergraduate Mathematics and Its Applications. Num Pages: 167 pages, biography. BIC Classification: PBT. Category: (G) General (US: Trade). Dimension: 216 x 140 x 9. Weight in Grams: 221. . 2011. Paperback. . . . . Books ship from the US and Ireland. Seller Inventory # V9781461263371
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It would be difficult to overestimate the importance of stochastic independence in both the theoretical development and the practical appli cations of mathematical probability. The concept is grounded in the idea that one event does not "condition" another, in the sense that occurrence of one does not affect the likelihood of the occurrence of the other. This leads to a formulation of the independence condition in terms of a simple "product rule," which is amazingly successful in capturing the essential ideas of independence. However, there are many patterns of "conditioning" encountered in practice which give rise to quasi independence conditions. Explicit and precise incorporation of these into the theory is needed in order to make the most effective use of probability as a model for behavioral and physical systems. We examine two concepts of conditional independence. The first concept is quite simple, utilizing very elementary aspects of probability theory. Only algebraic operations are required to obtain quite important and useful new results, and to clear up many ambiguities and obscurities in the literature.
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Title: Conditional Independence in Applied ...
Publisher: Springer-Verlag New York Inc.
Publication Date: 2011
Binding: Soft cover
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Taschenbuch. Condition: Neu. Conditional Independence in Applied Probability | P. E. Pfeiffer | Taschenbuch | ix | Englisch | 2011 | Birkhäuser Boston | EAN 9781461263371 | Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu Print on Demand. Seller Inventory # 105630062
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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -It would be difficult to overestimate the importance of stochastic independence in both the theoretical development and the practical appli cations of mathematical probability. The concept is grounded in the idea that one event does not 'condition' another, in the sense that occurrence of one does not affect the likelihood of the occurrence of the other. This leads to a formulation of the independence condition in terms of a simple 'product rule,' which is amazingly successful in capturing the essential ideas of independence. However, there are many patterns of 'conditioning' encountered in practice which give rise to quasi independence conditions. Explicit and precise incorporation of these into the theory is needed in order to make the most effective use of probability as a model for behavioral and physical systems. We examine two concepts of conditional independence. The first concept is quite simple, utilizing very elementary aspects of probability theory. Only algebraic operations are required to obtain quite important and useful new results, and to clear up many ambiguities and obscurities in the literature.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 168 pp. Englisch. Seller Inventory # 9781461263371
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - It would be difficult to overestimate the importance of stochastic independence in both the theoretical development and the practical appli cations of mathematical probability. The concept is grounded in the idea that one event does not 'condition' another, in the sense that occurrence of one does not affect the likelihood of the occurrence of the other. This leads to a formulation of the independence condition in terms of a simple 'product rule,' which is amazingly successful in capturing the essential ideas of independence. However, there are many patterns of 'conditioning' encountered in practice which give rise to quasi independence conditions. Explicit and precise incorporation of these into the theory is needed in order to make the most effective use of probability as a model for behavioral and physical systems. We examine two concepts of conditional independence. The first concept is quite simple, utilizing very elementary aspects of probability theory. Only algebraic operations are required to obtain quite important and useful new results, and to clear up many ambiguities and obscurities in the literature. Seller Inventory # 9781461263371
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