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The first exit of almost strongly recurrent semi-Markov processes

Joachim Domsta; Franciszek Grabski — 1995

Applicationes Mathematicae

Let $(\cdot)$ , n ∈ N, be a sequence of homogeneous semi-Markov processes (HSMP) on a countable set K, all with the same initial p.d. concentrated on a non-empty proper subset J. The subrenewal kernels which are restrictions of the corresponding renewal kernels on K×K to J×J are assumed to be suitably convergent to a renewal kernel P (on J×J). The HSMP on J corresponding to P is assumed to be strongly recurrent. Let [ $π_{j}$ ; j ∈ J] be the stationary p.d. of the embedded Markov chain. In terms of the averaged...

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