| 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 |  | | 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 | | doi | https://doi.org/10.1007/978-1-4612-0161-8 | | isbn_softcover | 978-1-4612-6640-2 | | isbn_ebook | 978-1-4612-0161-8Series ISSN 2364-6241 Series E-ISSN 2364-625X | | issn_series | 2364-6241 | | copyright | Birkhäuser Boston 2001 |
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发表于 2025-3-21 19:50:28
