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Titlebook: Sample Path Analysis and Distributions of Boundary Crossing Times; Shelemyahu Zacks Book 2017 Springer International Publishing AG 2017 Po

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樓主
發(fā)表于 2025-3-21 16:46:30 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Sample Path Analysis and Distributions of Boundary Crossing Times
編輯Shelemyahu Zacks
視頻videohttp://file.papertrans.cn/861/860725/860725.mp4
概述Demonstrates a general approach for studying telegraph processes and alternating renewal processes.Considered to be the first comprehensive book on the topic.Includes numerous examples that illustrate
叢書名稱Lecture Notes in Mathematics
圖書封面Titlebook: Sample Path Analysis and Distributions of Boundary Crossing Times;  Shelemyahu Zacks Book 2017 Springer International Publishing AG 2017 Po
描述.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.?.
出版日期Book 2017
關(guān)鍵詞Poisson Processes; Compound Poisson Processes; Renewal Processes; Compound Renewal Processes; Brownian M
版次1
doihttps://doi.org/10.1007/978-3-319-67059-1
isbn_softcover978-3-319-67058-4
isbn_ebook978-3-319-67059-1Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightSpringer International Publishing AG 2017
The information of publication is updating

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沙發(fā)
發(fā)表于 2025-3-21 21:23:09 | 只看該作者
First Crossing by Compound Poisson Processes,ies. The results have applications in inventory theory, in queuing theory, in insurance, reliability and more. Examples of applications will be given in the appropriate sections. One of the first papers on this subject is that of Perry et?al.?(.).
板凳
發(fā)表于 2025-3-22 03:42:54 | 只看該作者
Miscellaneous Topics,dom size, following some distribution which is conditional on the level of the process at that time. There are many application of such models in geophysics, population growth, insurance models, inventory systems, and more.
地板
發(fā)表于 2025-3-22 08:00:04 | 只看該作者
978-3-319-67058-4Springer International Publishing AG 2017
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發(fā)表于 2025-3-22 10:20:16 | 只看該作者
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發(fā)表于 2025-3-22 15:10:00 | 只看該作者
Lecture Notes in Mathematicshttp://image.papertrans.cn/s/image/860725.jpg
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發(fā)表于 2025-3-22 17:37:40 | 只看該作者
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發(fā)表于 2025-3-23 00:59:46 | 只看該作者
Technical Prerequisites,Poisson processes are Markov jump processes, having jumps of equal (deterministic) size. Without loss of generality, we assume that the jump size is d = 1. We give here a constructive definition of the Poisson process, based on its properties. For the postulates on which it is derived, see Kao (1997, ch.?2) or Resnick (2005, ch.?4).
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發(fā)表于 2025-3-23 01:41:25 | 只看該作者
First Crossing by Poisson Processes,In this chapter we discuss distributions of first crossing linear boundaries. First crossing of concave boundaries by Poisson processes is studied in Chapter?.
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發(fā)表于 2025-3-23 09:17:13 | 只看該作者
Telegraph Processes,Telegraph processes are ON and OFF processes, which change intermittently, according to alternating renewal processes. In physics these processes describe the movement of a particle on a line. The following is a simple example from physics.
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