Branching Processes in Autoregressive Random Environment
Branching Processes in Autoregressive Random Environment
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).
- Institute of Mathematics and Informatics Bulgaria
- Bulgarian Academy of Sciences Bulgaria
controlled branching process, random environment, state-dependent emigration, extinction probability, limit theorem in the supercritical case
controlled branching process, random environment, state-dependent emigration, extinction probability, limit theorem in the supercritical case
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