Multitype Branching Processes

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Multitype Branching Processes

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Author : Charles J. Mode
language : en
Publisher:
Release Date : 1971

Multitype Branching Processes written by Charles J. Mode and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Mathematics categories.

Multitype Branching Processes

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Author : Charles Mode
language : en
Publisher:
Release Date : 1971

Multitype Branching Processes written by Charles Mode and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Branching processes categories.

Branching Processes

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Author : K. B. Athreya
language : en
Publisher: Courier Corporation
Release Date : 2004-03-19

Branching Processes written by K. B. Athreya and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-03-19 with Mathematics categories.

A unified treatment of the limit theory of branching processes, this volume focuses on basics and is appropriate for graduate and advanced undergraduate students. The authors cover basic Galton-Watson process, potential theory, one dimensional continuous time Markov branching processes, age-dependent processes, multi-type branching processes, and special processes. Exercises. 1972 edition.

Multitype Branching Processes In Random Environments

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Author : Edward Wells Weissner
language : en
Publisher:
Release Date : 1970

Multitype Branching Processes In Random Environments written by Edward Wells Weissner and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Markov processes categories.

Consider the k-type Galton-Watson process. The work removes the restrictive assumption that particles of the same type always divide in accordance with the same probability generating function (p.g.f.). Instead, it is assumed that at each unit of time, Nature chooses a k-vector of p.g.f.s from a class of k-vectors of p.g.f.s., independently of the population, past and present, and the previously selected k-vectors, which is then assigned to the present population. Each particle of the present population then splits or disintegrates, independently of the others, in accordance with the p.g.f. assigned to its classification. This process is called a multitype branching process in a random environment (MBPRE). The work gives some necessary and some sufficient conditions for almost certain extinction of the MBPRE when there are at least two particle classifications. To obtain these results, Jensen's inequality, the dual process suggested by Smith and Wilkinson, and some results on products of random matrices are used. Since the theorems require the user to evaluate limits of sequences of products of random arrays, some corollaries are included which involve simpler, albeit less general, conditions. (Author).

Workshop On Branching Processes And Their Applications

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Author : Miguel González
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-03-02

Workshop On Branching Processes And Their Applications written by Miguel González and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-03-02 with Mathematics categories.

One of the charms of mathematics is the contrast between its generality and its applicability to concrete, even everyday, problems. Branching processes are typical in this. Their niche of mathematics is the abstract pattern of reproduction, sets of individuals changing size and composition through their members reproducing; in other words, what Plato might have called the pure idea behind demography, population biology, cell kinetics, molecular replication, or nuclear ?ssion, had he known these scienti?c ?elds. Even in the performance of algorithms for sorting and classi?cation there is an inkling of the same pattern. In special cases, general properties of the abstract ideal then interact with the physical or biological or whatever properties at hand. But the population, or bran- ing, pattern is strong; it tends to dominate, and here lies the reason for the extreme usefulness of branching processes in diverse applications. Branching is a clean and beautiful mathematical pattern, with an intellectually challenging intrinsic structure, and it pervades the phenomena it underlies.

Multitype Branching Processes

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Author : Steven Goldstein
language : en
Publisher:
Release Date : 1988

Multitype Branching Processes written by Steven Goldstein and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with categories.

Limiting Distributions For Critical Multitype Branching Processes

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Author : T. W. Mullikin
language : en
Publisher:
Release Date : 1961

Limiting Distributions For Critical Multitype Branching Processes written by T. W. Mullikin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with Branching processes categories.

Polling Systems And Multitype Branching Processes

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Author : J. A. C. Resing
language : en
Publisher:
Release Date : 1991

Polling Systems And Multitype Branching Processes written by J. A. C. Resing and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with categories.

Multitype Branching Processes In Varying And Randon I E Random Environment

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Author : Harry Cohn
language : en
Publisher:
Release Date : 1990

Multitype Branching Processes In Varying And Randon I E Random Environment written by Harry Cohn and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Branching processes categories.

Stochastic Processes Theory And Methods

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Author : D N Shanbhag
language : en
Publisher: Gulf Professional Publishing
Release Date : 2001

Stochastic Processes Theory And Methods written by D N Shanbhag and has been published by Gulf Professional Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.

J. Neyman, one of the pioneers in laying the foundations of modern statistical theory, stressed the importance of stochastic processes in a paper written in 1960 in the following terms: Currently in the period of dynamic indeterminism in science, there is hardly a serious piece of research, if treated realistically, does not involve operations on stochastic processes. Arising from the need to solve practical problems, several major advances have taken place in the theory of stochastic processes and their applications. Books by Doob (1953; J. Wiley and Sons), Feller (1957, 1966; J. Wiley and Sons) and Loeve (1960; D. van Nostrand and Col., Inc.) among others, have created growing awareness and interest in the use of stochastic processes in scientific and technological studies.The literature on stochastic processes is very extensive and is distributed in several books and journals.