Controlled branching processes / Miguel González Velasco, Inés M. del Puerto GarcÃa, George P. Yanev.
Material type:
TextSeries: Branching processes, branching random walks and branching particle fields sets ; volume 2.Publisher: London, UK : ISTE, Ltd. ; Hoboken, NJ : John Wiley & Sons, Inc., 2018Description: 1 online resourceContent type: - text
- computer
- online resource
- 9781119452973
- 111945297X
- 9781119484646
- 1119484642
- 519.2/34Â 23
- QA274.76
Classical Branching Models -- Branching Processes with Migration -- CB Processes: Extinction -- CB Processes: Limit Theorems -- Statistics of CB Processes -- Limit Theorems for Martingales -- Some Classical Theorems -- Auxiliaries -- Simulated Data for the Example in Chapter 5.
Includes bibliographical references and index.
Online resource; title from PDF title page (John Wiley, viewed January 4, 2018).
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.
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