Discrete Time Branching Processes In Random Environment PDF Download
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Author | : Götz Kersting |
Publisher | : John Wiley & Sons |
Total Pages | : 312 |
Release | : 2017-11-01 |
Genre | : Mathematics |
ISBN | : 1119473772 |
Download Discrete Time Branching Processes in Random Environment Book in PDF, ePub and Kindle
Branching processes are stochastic processes which represent the reproduction of particles, such as individuals within a population, and thereby model demographic stochasticity. In branching processes in random environment (BPREs), additional environmental stochasticity is incorporated, meaning that the conditions of reproduction may vary in a random fashion from one generation to the next. This book offers an introduction to the basics of BPREs and then presents the cases of critical and subcritical processes in detail, the latter dividing into weakly, intermediate, and strongly subcritical regimes.
Author | : Götz Kersting |
Publisher | : John Wiley & Sons |
Total Pages | : 311 |
Release | : 2017-10-30 |
Genre | : Mathematics |
ISBN | : 1119473551 |
Download Discrete Time Branching Processes in Random Environment Book in PDF, ePub and Kindle
Branching processes are stochastic processes which represent the reproduction of particles, such as individuals within a population, and thereby model demographic stochasticity. In branching processes in random environment (BPREs), additional environmental stochasticity is incorporated, meaning that the conditions of reproduction may vary in a random fashion from one generation to the next. This book offers an introduction to the basics of BPREs and then presents the cases of critical and subcritical processes in detail, the latter dividing into weakly, intermediate, and strongly subcritical regimes.
Author | : Kersting Gotz |
Publisher | : Elsevier |
Total Pages | : 250 |
Release | : 2017-10-01 |
Genre | : Mathematics |
ISBN | : 0081023421 |
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Branching Processes in Random Environment provides a unique and new approach to study branching processes in random environments. Branching processes in random environment are an important direction of the general theory of branching processes which, in turn, is a well-developed part of probability theory having various applications in physics and biology. There are several books devoted to the theory of branching processes; however, the theory of branching processes in random environments is not examined in-depth in those books. During the last two decades essential progress was achieved in this field in particular, due primarily to the authors' efforts. Features a unique and new approach to study branching processes in random environments Compares properties of branching processes in random environments with properties of ordinary random walks Enables finding the probability of survival of the critical and subcritical branching processes in random environments, as well as Yaglom-type limit theorems for the mentioned classes of processes
Author | : Miguel González Velasco |
Publisher | : John Wiley & Sons |
Total Pages | : 215 |
Release | : 2017-12-27 |
Genre | : Mathematics |
ISBN | : 1119484561 |
Download Controlled Branching Processes Book in PDF, ePub and Kindle
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.
Author | : Miguel González Velasco |
Publisher | : John Wiley & Sons |
Total Pages | : 240 |
Release | : 2018-03-13 |
Genre | : Mathematics |
ISBN | : 1786302535 |
Download Controlled Branching Processes Book in PDF, ePub and Kindle
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.
Author | : Kersting Gotz |
Publisher | : Iste Press - Elsevier |
Total Pages | : 250 |
Release | : 2017-10-01 |
Genre | : |
ISBN | : 9781785482427 |
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There are several books devoted to the theory of branching processes. However, the theory of branching processes in random environment is rather pour reflected in these books. During the last two decades an essential progress was achieved on this field in particular, owing to the efforts of the authors of the proposal. We develop in this book a unique and new approach to study branching processes in random environment To compare properties of branching processes in random environment with properties of ordinary random walks This approach, combined with the properties of random walks conditioned to stay nonnegative or negative allows to find the probability of survival of the critical and subcritical branching processes in random environment as well as Yaglom-type limit theorems for the mentioned classes of processes
Author | : Carl Mueller |
Publisher | : |
Total Pages | : 44 |
Release | : 1993 |
Genre | : |
ISBN | : |
Download The Support of Measure Valued Branching Processes in a Random Environment Book in PDF, ePub and Kindle
Author | : Patsy Haccou |
Publisher | : Cambridge University Press |
Total Pages | : 342 |
Release | : 2005-05-19 |
Genre | : Mathematics |
ISBN | : 9780521832205 |
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This book covers the mathematical idea of branching processes, and tailors it for a biological audience.
Author | : Krishna B. Athreya |
Publisher | : Springer Science & Business Media |
Total Pages | : 301 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3642653715 |
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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.
Author | : Christian Böinghoff |
Publisher | : |
Total Pages | : 0 |
Release | : 2010 |
Genre | : |
ISBN | : |
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