Overview
- Represents a valuable reference on branching processes theory
- Covers the most relevant and new models in branching processes theory, including both probabilistic and statistical developments
- Describes the most recent applications of branching models in fields such as population dynamics, epidemiology, cell populations and genetics
Part of the book series: Lecture Notes in Statistics (LNS, volume 219)
Part of the book sub series: Lecture Notes in Statistics - Proceedings (LNSP)
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Table of contents (19 chapters)
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Front Matter
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Coalescent Branching Processes
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Front Matter
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Population Growth Models in Varying and Random Environments
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Front Matter
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Size/Density/Resource-Dependent Branching Models
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Front Matter
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Age-Dependent Branching Models
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Front Matter
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Keywords
About this book
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.
Editors and Affiliations
About the editors
The Editors of this volume are members of the Department of Mathematics at the University of Extremadura in Spain. They constitute a research group whose interests include the study of the probabilistic and inferential theory of branching processes as well as their applications. Their research has been mainly focused on the development of two-sex branching models and controlled branching processes, and their applications in population dynamics and genetics, as well as on the study of continuous-time branching models in an epidemiological context. They have published around one hundred of papers in this field and have supervised several doctoral theses. Furthermore, they have organized three international workshops on Branching Processes and their Applications, and have participated in a large number of conferences all over the world.
Bibliographic Information
Book Title: Branching Processes and Their Applications
Editors: Inés M. del Puerto, Miguel González, Cristina Gutiérrez, Rodrigo Martínez, Carmen Minuesa, Manuel Molina, Manuel Mota, … Alfonso Ramos
Series Title: Lecture Notes in Statistics
DOI: https://doi.org/10.1007/978-3-319-31641-3
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2016
Softcover ISBN: 978-3-319-31639-0Published: 07 September 2016
eBook ISBN: 978-3-319-31641-3Published: 06 September 2016
Series ISSN: 0930-0325
Series E-ISSN: 2197-7186
Edition Number: 1
Number of Pages: XVI, 332
Number of Illustrations: 25 b/w illustrations, 4 illustrations in colour
Topics: Statistical Theory and Methods, Probability Theory and Stochastic Processes, Statistics for Life Sciences, Medicine, Health Sciences, Genetics and Population Dynamics