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Titlebook: Random Sums and Branching Stochastic Processes; Ibrahim Rahimov Book 1995 Springer-Verlag New York, Inc. 1995 Branching process.Random var

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书目名称Random Sums and Branching Stochastic Processes
编辑Ibrahim Rahimov
视频video
丛书名称Lecture Notes in Statistics
图书封面Titlebook: Random Sums and Branching Stochastic Processes;  Ibrahim Rahimov Book 1995 Springer-Verlag New York, Inc. 1995 Branching process.Random var
描述The aim of this monograph is to show how random sums (that is, the summation of a random number of dependent random variables) may be used to analyse the behaviour of branching stochastic processes. The author shows how these techniques may yield insight and new results when applied to a wide range of branching processes. In particular, processes with reproduction-dependent and non-stationary immigration may be analysed quite simply from this perspective. On the other hand some new characterizations of the branching process without immigration dealing with its genealogical tree can be studied. Readers are assumed to have a firm grounding in probability and stochastic processes, but otherwise this account is self-contained. As a result, researchers and graduate students tackling problems in this area will find this makes a useful contribution to their work.
出版日期Book 1995
关键词Branching process; Random variable; Stochastic processes; Variance; stochastic process
版次1
doihttps://doi.org/10.1007/978-1-4612-4216-1
isbn_softcover978-0-387-94446-3
isbn_ebook978-1-4612-4216-1Series ISSN 0930-0325 Series E-ISSN 2197-7186
issn_series 0930-0325
copyrightSpringer-Verlag New York, Inc. 1995
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Introduction,are properties of all biological populations including demographic and cell populations (see Jagers. 1975, for example). Other examples are the development of families of neutrons in atomic reactors (Vatutin et. al., 1985), the behavior of cosmic ray showers, and the growth of large organic molecule
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Sums of a Random Number of Random Variables,and ..Conditions for the convergence of the distribution of the sum .of independent random variables to the given infinitely divisible distribution are well known (see, for example, Petrov, 1987). Such conditions were considered in certain papers for a sum of dependent .Some conditions for the conve
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efinition, key words, an illustration, applications, a bibliography, and links to related literature..The entries are expository and tutorial, making this reference a practical resource for students, academics, or professionals who employ machine learning and data mining methods in their projects. M
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