Titlebook: Nonlinearly Perturbed Semi-Markov Processes; Dmitrii Silvestrov,Sergei Silvestrov Book 2017 The Author(s) 2017 Semi-Markov Process.Markov

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Asymptotic Expansions for Stationary Distributions of Nonlinearly Perturbed Semi-Markov Processes,h finite phase spaces are presented. These algorithms are based on the technique of sequential phase space reduction, which can be applied to processes with an arbitrary asymptotic communicative structure of phase spaces. Asymptotic expansions are given in two forms, without and with explicit upper bounds for remainders.

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Nonlinearly Perturbed Birth-Death-Type Semi-Markov Processes,In Chapter ., we present asymptotic expansions for stationary and conditional quasi-stationary distributions of nonlinearly perturbed birth-death-type semi-Markov processes, which play an important role in many applications. In this case, the corresponding expansions can be given in a more explicit form.

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