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Titlebook: Semi-Markov Processes and Reliability; N. Limnios,G. Oprişan Book 2001 Birkhäuser Boston 2001 Brownian motion.Engineering reliability.Mark

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书目名称Semi-Markov Processes and Reliability
编辑N. Limnios,G. Oprişan
视频video
丛书名称Statistics for Industry and Technology
图书封面Titlebook: Semi-Markov Processes and Reliability;  N. Limnios,G. Oprişan Book 2001 Birkhäuser Boston 2001 Brownian motion.Engineering reliability.Mark
描述At first there was the Markov property. The theory of stochastic processes, which can be considered as an exten­ sion of probability theory, allows the modeling of the evolution of systems through the time. It cannot be properly understood just as pure mathemat­ ics, separated from the body of experience and examples that have brought it to life. The theory of stochastic processes entered a period of intensive develop­ ment, which is not finished yet, when the idea of the Markov property was brought in. Not even a serious study of the renewal processes is possible without using the strong tool of Markov processes. The modern theory of Markov processes has its origins in the studies by A. A: Markov (1856-1922) of sequences of experiments "connected in a chain" and in the attempts to describe mathematically the physical phenomenon known as Brownian mo­ tion. Later, many generalizations (in fact all kinds of weakenings of the Markov property) of Markov type stochastic processes were proposed. Some of them have led to new classes of stochastic processes and useful applications. Let us mention some of them: systems with complete connections [90, 91, 45, 86]; K-dependent Markov processes
出版日期Book 2001
关键词Brownian motion; Engineering reliability; Markov; Markov kernel; Markov process; Simulation; Stochastic pr
版次1
doihttps://doi.org/10.1007/978-1-4612-0161-8
isbn_softcover978-1-4612-6640-2
isbn_ebook978-1-4612-0161-8Series ISSN 2364-6241 Series E-ISSN 2364-625X
issn_series 2364-6241
copyrightBirkhäuser Boston 2001
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Examples of Reliability Modeling,In this chapter we shall present examples and applications of the semi-Markov process theory to reliability evaluation. We also present the Monte Carlo method for semi-Markov systems.
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978-1-4612-6640-2Birkhäuser Boston 2001
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