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Asymptotic Expansions for Array Branching Processes with Applications to Bootstrapping

Journal of Applied Probability, 1998
Asymptotic expansions are obtained for the distribution function of a studentized estimator of the offspring mean sequence in an array branching process with immigration. The expansion result is shown to hold in a test function topology. As an application of this result, it is shown that the bootstrapping distribution of the estimator of the offspring ...
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A bisexual multitype branching process with applications in population genetics

The Bulletin of Mathematical Biophysics, 1972
A bisexual multiple branching process is studied. Consider a population with respect to three genotypes in both the female and male populations and let $$X(n) = \left\langle {X_1 (n), X_2 (n), X_3 (n)} \right\rangle and Y(n) = \left\langle {Y_1 (n), Y_2 (n), Y_3 (n ...
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MULTIDIMENSIONAL TAUBERIAN THEOREMS AND THEIR APPLICATION TO BELLMAN-HARRIS BRANCHING PROCESSES

Mathematics of the USSR-Sbornik, 1982
Multidimensional generalizations of the Tauberian theorems of Karamata are obtained, along with two applications of them to the investigation of Bellman-Harris branching processes.Bibliography: 10 titles.
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Applications of Single-Type Branching Processes

2015
Two applications of single-type branching process theory to population and epidemic processes are presented. The first application is to an epidemic model with susceptible, infectious, and recovered individuals in which there is only temporary immunity to reinfection.
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Branching processes and their application to chemical chain reactions

International Journal of Mathematical Education in Science and Technology, 1999
In the paper an approach tobranching processes is offered in order toapply them to chemical chain reactions. After a brief introduction, the problem and the mathematical background are set in section 2. In section 3 the extinction probability for a branching process is discussed, while section 4 is devoted to the study of the expected extinction time ...
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Branching Processes with Biological Applications

International Statistical Review / Revue Internationale de Statistique, 1977
J. Radcliffe, P. Jagers
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International conference "Branching processes and their applications"

Russian Mathematical Surveys, 2023
Shavkat Abdullaevich Ayupov   +1 more
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Interventions in GARCE Branching Processes with Application to Ebola Virus Data

Methodology and Computing in Applied Probability, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Branching processes with terminal types: application to context-free grammars

Journal of Applied Probability, 1971
In this note we consider multi-type branching processes where certain terminal types of particles, once created, are subject neither to death nor to further reproduction.
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Inference for Age-dependent Branching Process and Their Applications

2015
Age-dependent branching processes arise in multiple areas of scientific applications such as cell biology, epidemic spread, and medical science. Researchers have shown that the size of the process grows exponentially fast with some rate depending on the offspring distribution and the life-time distribution of the particles, but the inference for such a
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