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＜電子ブック＞
Sample Path Analysis and Distributions of Boundary Crossing Times / by Shelemyahu Zacks
(Lecture Notes in Mathematics. ISSN:16179692 ; 2203)

版	1st ed. 2017.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2017
本文言語	英語
大きさ	XIII, 135 p. 19 illus., 2 illus. in color : online resource
著者標目	*Zacks, Shelemyahu author SpringerLink (Online service)
件　名	LCSH:Probabilities LCSH:Operations research LCSH:Management science FREE:Probability Theory FREE:Operations Research, Management Science
一般注記	Introduction -- Technical Prerequisites -- First Crossing by Poisson Processes -- First Crossing by Compound Poisson Processes -- Telegraph Processes -- Sequential Estimation -- First Crossing a Random Process -- Failure Times of Deterioration Processes -- Miscellaneous Topics This monograph is focused on the derivations of exact distributions of first boundary crossing times of Poisson processes, compound Poisson processes, and more general renewal processes.  The content is limited to the distributions of first boundary crossing times and their applications to various stochastic models. This book provides the theory and techniques for exact computations of distributions and moments of level crossing times. In addition, these techniques could replace simulations in many cases, thus providing more insight about the phenomenona studied. This book takes a general approach for studying telegraph processes and is based on nearly thirty published papers by the author and collaborators over the past twenty five years.  No prior knowledge of advanced probability is required, making the book widely available to students and researchers in applied probability, operations research, applied physics, and applied mathematics.  HTTP:URL=https://doi.org/10.1007/978-3-319-67059-1

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