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

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.

33 pages. This is Part II of the paper, which is a shorten and improved version off the paper arXiv:1603.03891