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Comparison of perturbation bounds for the stationary distribution of a Markov chain. (English) Zbl 0983.60062

Authors’ summary: 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.

Reviewer’s remark: For related papers see the authors [Linear Algebra Appl. 316, No. 1-3, 21-28 (2000; Zbl 0968.60066)], C. D. Meyer jun. [SIAM J. Algebraic Discrete Methods 1, 273-283 (1980; Zbl 0498.60071)], P. J. Schweitzer [J. Appl. Probab. 5, 401-413 (1968; Zbl 0196.19803)] and E. Seneta [Adv. Appl. Probab. 20, 228-230 (1988; Zbl 0645.60070)].

60J10Markov chains (discrete-time Markov processes on discrete state spaces)
15A51Stochastic matrices (MSC2000)
15A12Conditioning of matrices
15A18Eigenvalues, singular values, and eigenvectors