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Titlebook: Continuous-Time Markov Chains; An Applications-Orie William J. Anderson Book 1991 Springer-Verlag New York Inc. 1991 Branching process.Mark

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书目名称Continuous-Time Markov Chains
副标题An Applications-Orie
编辑William J. Anderson
视频videohttp://file.papertrans.cn/238/237042/237042.mp4
丛书名称Springer Series in Statistics
图书封面Titlebook: Continuous-Time Markov Chains; An Applications-Orie William J. Anderson Book 1991 Springer-Verlag New York Inc. 1991 Branching process.Mark
描述Continuous time parameter Markov chains have been useful for modeling various random phenomena occurring in queueing theory, genetics, demography, epidemiology, and competing populations. This is the first book about those aspects of the theory of continuous time Markov chains which are useful in applications to such areas. It studies continuous time Markov chains through the transition function and corresponding q-matrix, rather than sample paths. An extensive discussion of birth and death processes, including the Stieltjes moment problem, and the Karlin-McGregor method of solution of the birth and death processes and multidimensional population processes is included, and there is an extensive bibliography. Virtually all of this material is appearing in book form for the first time.
出版日期Book 1991
关键词Branching process; Markov chain; Moment; Parameter; Transition function; continuous-time Markov chain; erg
版次1
doihttps://doi.org/10.1007/978-1-4612-3038-0
isbn_softcover978-1-4612-7772-9
isbn_ebook978-1-4612-3038-0Series ISSN 0172-7397 Series E-ISSN 2197-568X
issn_series 0172-7397
copyrightSpringer-Verlag New York Inc. 1991
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https://doi.org/10.1007/978-3-322-94806-9f (1.1) depends only on . − ., and not on . and . individually, we say that the process . is homogeneous, or has stationary transition probabilities. In this case, then, ., and the function . is called the transition function of the process.
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0172-7397 raphy, epidemiology, and competing populations. This is the first book about those aspects of the theory of continuous time Markov chains which are useful in applications to such areas. It studies continuous time Markov chains through the transition function and corresponding q-matrix, rather than s
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Existence and Uniqueness of ,-Functions,-step transition matrix .. Furthermore, the one-step transition probabilities .. have very obvious meaning in terms of the process being modeled by the Markov chain, and are easily estimated from observations of the process.
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