Alternating branching processes
| Autor: | Penka Mayster |
|---|---|
| Rok vydání: | 2005 |
| Předmět: |
Statistics and Probability
Pure mathematics Markov chain Extinction probability Operator (physics) General Mathematics 010102 general mathematics 01 natural sciences Combinatorics Branching (linguistics) 010104 statistics & probability Random environment Limit (mathematics) 0101 mathematics Statistics Probability and Uncertainty Mathematics Branching process |
| Zdroj: | Journal of Applied Probability. 42:1095-1108 |
| ISSN: | 1475-6072 0021-9002 |
| DOI: | 10.1017/s0021900200001133 |
| Popis: | We introduce the idea of controlling branching processes by means of another branching process, using the fractional thinning operator of Steutel and van Harn. This idea is then adapted to the model of alternating branching, where two Markov branching processes act alternately at random observation and treatment times. We study the extinction probability and limit theorems for reproduction by n cycles, as n → ∞. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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