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Conditional Independence in Applied Probability

Name: Conditional Independence in Applied Probability
Brand: Springer-Verlag New York Inc.
SKU: 02232719
Price: 1350 CZK
Availability: InStock
Author: P.E. Pfeiffer
ISBN: 9781461263371

P.E. Pfeiffer

Jazyk

Angličtina

Kniha Brožovaná

Libristo kód: 02232719

Nakladatelství Springer-Verlag New York Inc., listopad 2011

It would be difficult to overestimate the importance of stochastic independence in both the theoreti... Celý popis

Libristo kód: 02232719

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1 350 Kč

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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.