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Comparison of perturbation bounds for the stationary distribution of a Markov chain. Linear Algebra and its Applications


Author(s) : D. Meyer Carl Grace E. Cho, 
Publisher : N/A
Publication Date : 2001
ISSN : N/A
Abstract : Abstract. The purpose of this paper is to review and compare the existing perturbation bounds for the stationary distribution of a finite, irreducible, homogeneous Markov chain. Key words. Markov chains, stationary distribution, stochastic matrix, group inversion, sensitivity analysis, perturbation theory, condition numbers AMS subject classifications. 65F35, 60J10, 15A51, 15A12, 15A18 1. Introduction. Let,