Branching Processes and Their Applications

• Corporate Author: SpringerLink (Online service)
• Other Authors: del Puerto, Inés M. (Editor), González, Miguel (Editor), Gutiérrez, Cristina (Editor), Martínez, Rodrigo (Editor), Minuesa, Carmen (Editor), Molina, Manuel (Editor), Mota, Manuel (Editor), Ramos, Alfonso (Editor)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Series: Lecture Notes in Statistics, 219
• Subjects: Statistics.; Probabilities.; Biomathematics.; Statistical Theory and Methods.; Probability Theory and Stochastic Processes.; Statistics for Life Sciences, Medicine, Health Sciences.; Genetics and Population Dynamics.

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 b...

Table of Contents:

• Part I Coalescent Branching Processes: Coalescence in Branching Processes
• A Multi-type Λ-coalescent
• Part II Branching Random Walks: On the Number of Positive Eigenvalues of the Evolutionary Operator of Branching Random Walk
• Branching Structures Within Random Walks and Their Applications
• Part III opulation Growth Models in Varying and Random Environments: Some Asymptotic Results for Strongly Critical Branching Processes With Immigration in Varying Environment
• Subcritical Branching Processes in Random Environment
• Part IV Size/Density/Resource-Dependent Branching Models: The Theorem of Envelopment and Directives of Control in Resource Dependent Branching Processes
• From Size to Age and Type Structure Dependent Branching – A First Step to Sexual Reproduction in General Population Processes
• Part V Age-dependent Branching Models: Supercritical Sevastyanov Branching Processes With Non-homogeneous Poisson Immigration
• Crump-Mode-Jagers Branching Process – A Numerical Approach
• Part VI Special Branching Models: Bayesian Analysis for Controlled Branching Processes
• Recurrence and Transience of Near-critical Multivariate Growth Models – Criteria and Examples
• The Weighted Branching Process
• A Special Family of Galton-Watson Processes With Explosions
• Part VII Applications in Epidemiology: Total Progeny of Crump-Mode-Jagers Branching Processes – An Application to Vaccination in Epidemic Modeling
• Inference for Emerging Epidemics Among a Community of Households
• Part VIII Applications in Biology and Genetics: Extinction Probability of Some Recessive Alleles of X-linked Genes in the Context of two-sex Branching Processes
• Two-sex Branching Processes With Several Mating and Reproduction Strategies – Extinction Versus Survival
• On two–Type Decomposable Branching Processes in Continuous Time and Time to Escape Extinction.