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Titlebook: Conditional Independence in Applied Probability; Paul E. Pfeiffer Textbook 1979 Education Development Center, Inc. 1979 calculus.probabili

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發(fā)表于 2025-3-21 17:07:13 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Conditional Independence in Applied Probability
編輯Paul E. Pfeiffer
視頻videohttp://file.papertrans.cn/236/235207/235207.mp4
叢書名稱Modules and Monographs in Undergraduate Mathematics and Its Applications
圖書封面Titlebook: Conditional Independence in Applied Probability;  Paul E. Pfeiffer Textbook 1979 Education Development Center, Inc. 1979 calculus.probabili
描述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.
出版日期Textbook 1979
關(guān)鍵詞calculus; probability; probability space; probability theory
版次1
doihttps://doi.org/10.1007/978-1-4612-6335-7
isbn_softcover978-1-4612-6337-1
isbn_ebook978-1-4612-6335-7
copyrightEducation Development Center, Inc. 1979
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Conditional Expectation, introductory treatment of conditional expectation is intuitive, straightforward, but severely limited in scope. More general treatments tend to assume familiarity with advanced notions of measurability and abstract integration theory. We seek to bridge the gap and make the appropriate aspects of a
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Markov Processes and Conditional Independence,ocesses without “memory.” The “future” is conditioned only by the “present” and not by the manner in which the present state is reached. The past thus affects the future only as it influences the present. We wish to make the connection between the usual introductory treatment and the more advanced p
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Ivana Simonova,Petra Poulova,Pavel Kriz introductory treatment of conditional expectation is intuitive, straightforward, but severely limited in scope. More general treatments tend to assume familiarity with advanced notions of measurability and abstract integration theory. We seek to bridge the gap and make the appropriate aspects of a general treatment more readily accessible.
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978-1-4612-6337-1Education Development Center, Inc. 1979
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