Total Progency In A Critical Age Dependent Branching Process With Immigration

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Total Progeny In A Critical Age Dependent Branching Process With Immigration

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Author : Stanford University. Department of Statistics
language : en
Publisher:
Release Date : 1976

Total Progeny In A Critical Age Dependent Branching Process With Immigration written by Stanford University. Department of Statistics and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with categories.

On Age Dependent Branching Processes With Immigration And Sibling Correlation

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Author : David Bruce Miller
language : en
Publisher:
Release Date : 1974

On Age Dependent Branching Processes With Immigration And Sibling Correlation written by David Bruce Miller and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with categories.

Branching Processes

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Author : Krishna B. Athreya
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Branching Processes written by Krishna B. Athreya 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 2012-12-06 with Mathematics categories.

The purpose of this book is to give a unified treatment of the limit theory of branching processes. Since the publication of the important book of T E. Harris (Theory of Branching Processes, Springer, 1963) the subject has developed and matured significantly. Many of the classical limit laws are now known in their sharpest form, and there are new proofs that give insight into the results. Our work deals primarily with this decade, and thus has very little overlap with that of Harris. Only enough material is repeated to make the treatment essentially self-contained. For example, certain foundational questions on the construction of processes, to which we have nothing new to add, are not developed. There is a natural classification of branching processes according to their criticality condition, their time parameter, the single or multi-type particle cases, the Markovian or non-Markovian character of the pro cess, etc. We have tried to avoid the rather uneconomical and un enlightening approach of treating these categories independently, and by a series of similar but increasingly complicated techniques. The basic Galton-Watson process is developed in great detail in Chapters I and II.

Random Sums And Branching Stochastic Processes

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Author : Ibrahim Rahimov
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Random Sums And Branching Stochastic Processes written by Ibrahim Rahimov 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 2012-12-06 with Mathematics categories.

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.

Journal Of Applied Probability

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Author :
language : en
Publisher:
Release Date : 1974

Journal Of Applied Probability written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Mathematical models categories.

Information Technologies And Mathematical Modelling Queueing Theory And Related Fields

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Author : Alexander Dudin
language : en
Publisher: Springer Nature
Release Date :

Information Technologies And Mathematical Modelling Queueing Theory And Related Fields written by Alexander Dudin and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.

Journal Of Information Optimization Sciences

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Author :
language : en
Publisher:
Release Date : 1990

Journal Of Information Optimization Sciences written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Electronic data processing categories.

Limit Probabilities For Critical Age Dependent Branching Processes With Immigration

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Author : STANFORD UNIV CALIF DEPT OF STATISTICS.
language : en
Publisher:
Release Date : 1979

Limit Probabilities For Critical Age Dependent Branching Processes With Immigration written by STANFORD UNIV CALIF DEPT OF STATISTICS. and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with categories.

Let Z sub O(t), N sub O (t) denote, respectively, the number of cells alive at t and the total progeny born by t in a process with a random number of new cells introduced at renewal epochs, each new cell initiating a critical age-dependent branching process. As t approaches infinity, the forms of P(Z sub O (t) = k) and P(N sub O (t) = k) are obtained for k = 1,2, ... and k = 0,1,2, ..., respectively. A multi-dimensional version and extension are indicated.

Weak Convergence For Branching Processes

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Author : Nicholas Knueppel
language : en
Publisher:
Release Date : 1976

Weak Convergence For Branching Processes written by Nicholas Knueppel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with categories.

Probability Theory Subject Indexes From Mathematical Reviews

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Author : American Mathematical Society
language : en
Publisher:
Release Date : 1987

Probability Theory Subject Indexes From Mathematical Reviews written by American Mathematical Society and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Mathematics categories.