The Structure of Decomposable Reduced Branching Processes. II. Functional Limit Theorems
| Autor: | V. A. Vatutin |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Statistics and Probability
education.field_of_study 010102 general mathematics Population Structure (category theory) Type (model theory) 01 natural sciences Moment (mathematics) Combinatorics Branching (linguistics) 010104 statistics & probability Limit (mathematics) 0101 mathematics Statistics Probability and Uncertainty education Branching process Mathematics |
| Zdroj: | Theory of Probability & Its Applications. 60:103-119 |
| ISSN: | 1095-7219 0040-585X |
| Popis: | A decomposable strongly critical Galton--Watson branching process, with $N$ types of particles labeled $1,2,\ldots,N,$ is considered in which particles of type $i$ may produce offspring of types $j\ge i$ only. Functional limit theorems are proved describing the structure of the reduced process generated by the initial one, and the distributions of the birth moment and the type of the most recent ancestor of all particles existing in the population at a distant moment $n$ are found. |
| Databáze: | OpenAIRE |
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