Conditional Independence in Applied Probability (Modules and Monographs in Undergraduate Mathematics and Its Applications) - Tapa blanda

Pfeiffer, P.E.

 
9781461263371: Conditional Independence in Applied Probability (Modules and Monographs in Undergraduate Mathematics and Its Applications)
Tapa blanda
ISBN 10: 1461263379 ISBN 13: 9781461263371
Editorial: Birkhäuser, 2011

Sinopsis

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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Reseña del editor

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Birkhäuser
Año de publicación
2011
Idioma
Inglés
ISBN 10 
1461263379
ISBN 13 
9781461263371
Encuadernación
Tapa blanda
Número de páginas
168
Contacto del fabricante
no disponible
Persona responsable
no disponible

Otras ediciones populares con el mismo título

9780817630164: Conditional Independence in Applied Probability (Modules and Monographs in Undergraduate Mathematics and Its Applications)

Edición Destacada

ISBN 10:  0817630163 ISBN 13:  9780817630164
Editorial: Birkhauser Boston Inc, 1978
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