controlled branching process state-dependent emigration random environment extinction probability limit theorem in the supercritical case
Issue Date:
2009
Publisher:
Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation:
Pliska Studia Mathematica Bulgarica, Vol. 19, No 1, (2009), 217p-228p
Abstract:
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).
