Branching Processes in Autoregressive Random Environment
| Data(s) |
23/01/2014
23/01/2014
2009
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|---|---|
| Resumo |
2000 Mathematics Subject Classification: 60J80, 60K05. We consider the model of alternating branching processes where two Markov branching processes act alternately at random observation and treatment times. The sequences of cycles (observation, treatment) = (δn, τn) constitute a random environment for branching mechanisms. We suppose in addition that the lengths of the cycles σ n = δn + τn are generated by the linear additive first order autoregressive schema EAR(1). |
| Identificador |
Pliska Studia Mathematica Bulgarica, Vol. 19, No 1, (2009), 217p-228p 0204-9805 |
| Idioma(s) |
en |
| Publicador |
Institute of Mathematics and Informatics Bulgarian Academy of Sciences |
| Palavras-Chave | #controlled branching process #state-dependent emigration #random environment #extinction probability #limit theorem in the supercritical case |
| Tipo |
Article |
