Asymptotic Expansions for Stationary Distributions of Nonlinearly Perturbed Semi-Markov Processes. II

Dmitrii Silvestrov; Sergei Silvestrov

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arXiv · 1603.04743

Asymptotic Expansions for Stationary Distributions of Nonlinearly Perturbed Semi-Markov Processes. II

Dmitrii Silvestrov·Sergei Silvestrov

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Abstract

Asymptotic expansions with explicit upper bounds for remainders are given for stationary distributions of nonlinearly perturbed semi-Markov processes with finite phase spaces. The corresponding algorithms are based on a special technique of sequential phase space reduction, which can be applied to processes with an arbitrary asymptotic communicative structure of phase spaces.

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Dmitrii Silvestrov, Sergei Silvestrov. 2016-03-15. Asymptotic Expansions for Stationary Distributions of Nonlinearly Perturbed Semi-Markov Processes. II. https://arxiv.org/abs/1603.04743

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