Controlled Branching Processes
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Controlled Branching Processes
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Author : Miguel González Velasco
language : en
Publisher: John Wiley & Sons
Release Date : 2018-03-13
Controlled Branching Processes written by Miguel González Velasco and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-13 with Mathematics categories.
The purpose of this book is to provide a comprehensive discussion of the available results for discrete time branching processes with random control functions. The independence of individuals’ reproduction is a fundamental assumption in the classical branching processes. Alternatively, the controlled branching processes (CBPs) allow the number of reproductive individuals in one generation to decrease or increase depending on the size of the previous generation. Generating a wide range of behaviors, the CBPs have been successfully used as modeling tools in diverse areas of applications.
Controlled Branching Processes
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Author : Miguel González Velasco
language : en
Publisher: Elsevier
Release Date : 2017-11-01
Controlled Branching Processes written by Miguel González Velasco and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-01 with Mathematics categories.
Controlled Branching Processes provides a comprehensive discussion of the available results for discrete time branching processes with random control functions. The independence of individuals’ reproduction is a fundamental assumption in the classical branching processes. Alternatively, the controlled branching processes (CBPs) allow the number of reproductive individuals in one generation to decrease or increase depending on the size of the previous generation. Generating a wide range of behaviors, the CBPs have been successfully used as modeling tools in diverse areas of applications. Presents a comprehensive analysis of the evolution of discrete branching populations with random control of the number of productive individuals Develops models of populations subject to simultaneous multiple immigrations and emigration and shows how these can be used to produce a model with any desired equilibrium distribution Studies discrete series of events that can arise in the process of monitoring one population and how the statistics of these events can be characterized Presents methods for numerical simulation of dynamic populations, giving examples of algorithms that can be used to simulate most of the processes considered in the book, as well as computational intensive methods for estimating the main characteristics of these processes
Contribucions To The Theory Of The Controlled Branching Processes
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Author : Inés María del Puerto García
language : en
Publisher:
Release Date : 2005
Contribucions To The Theory Of The Controlled Branching Processes written by Inés María del Puerto García and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with categories.
Branching Processes And Their Applications
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Author : Inés M. del Puerto
language : en
Publisher: Springer
Release Date : 2016-09-06
Branching Processes And Their Applications written by Inés M. del Puerto and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09-06 with Mathematics categories.
This volume gathers papers originally presented at the 3rd Workshop on Branching Processes and their Applications (WBPA15), which was held from 7 to 10 April 2015 in Badajoz, Spain (http://branching.unex.es/wbpa15/index.htm). The papers address a broad range of theoretical and practical aspects of branching process theory. Further, they amply demonstrate that the theoretical research in this area remains vital and topical, as well as the relevance of branching concepts in the development of theoretical approaches to solving new problems in applied fields such as Epidemiology, Biology, Genetics, and, of course, Population Dynamics. The topics covered can broadly be classified into the following areas: 1. Coalescent Branching Processes 2. Branching Random Walks 3. Population Growth Models in Varying and Random Environments 4. Size/Density/Resource-Dependent Branching Models 5. Age-Dependent Branching Models 6. Special Branching Models 7. Applications in Epidemiology 8. Applications in Biology and Genetics Offering a valuable reference guide to contemporary branching process theory, the book also explores many open problems, paving the way for future research.
Controlled Branching Process Models For Linearly Structured Populations
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Author : Michael Altmann
language : en
Publisher:
Release Date : 1988
Controlled Branching Process Models For Linearly Structured Populations written by Michael Altmann 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.
Asymptotic Moments And Distributions Of The First Exit Time Of Controlled Branching Processes
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Author : Robert Murray Lucas
language : en
Publisher:
Release Date : 1981
Asymptotic Moments And Distributions Of The First Exit Time Of Controlled Branching Processes written by Robert Murray Lucas and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Asymptotic expansions 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.
Branching Processes
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Author : Asmussen
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Branching Processes written by Asmussen 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 2013-06-29 with Mathematics categories.
Branching processes form one of the classical fields of applied probability and are still an active area of research. The field has by now grown so large and diverse that a complete and unified treat ment is hardly possible anymore, let alone in one volume. So, our aim here has been to single out some of the more recent developments and to present them with sufficient background material to obtain a largely self-contained treatment intended to supplement previous mo nographs rather than to overlap them. The body of the text is divided into four parts, each of its own flavor. Part A is a short introduction, stressing examples and applications. In Part B we give a self-contained and up-to-date pre sentation of the classical limit theory of simple branching processes, viz. the Gal ton-Watson ( Bienayme-G-W) process and i ts continuous time analogue. Part C deals with the limit theory of Il!arkov branching processes with a general set of types under conditions tailored to (multigroup) branching diffusions on bounded domains, a setting which also covers the ordinary multitype case. Whereas the point of view in Parts A and B is quite pedagogical, the aim of Part C is to treat a large subfield to the highest degree of generality and completeness possi"ble. Thus the exposition there is at times quite technical.
Longtime Behavior Of A Branching Process Controlled By Branching Catalysts
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Author : Donald A. Dawson
language : en
Publisher:
Release Date : 1996
Longtime Behavior Of A Branching Process Controlled By Branching Catalysts written by Donald A. Dawson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with categories.
Branching Processes
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Author : C.C. Heyde
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Branching Processes written by C.C. Heyde 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.
This volume presents the edited proceedings of the First World Congress on Branching Processes. The contributions present new research and surveys of the current research activity in this field. As a result, all those undertaking research in the subject will find this a timely and high-quality volume to have on their shelves.