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Volumn 417, Issue 1 SPEC. ISS., 2006, Pages 108-123

Mixing times with applications to perturbed Markov chains

Author keywords

Markov chains; Mean first passage times; Mixing times; Perturbation theory; Stationary distribution; Time to stationarity

Indexed keywords

LINEAR ALGEBRA; OPTIMIZATION; PERTURBATION TECHNIQUES; PROBABILITY; STATISTICAL METHODS; VECTORS;

EID: 33745523822     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.laa.2006.02.008     Document Type: Article
Times cited : (63)

References (18)
  • 1
    • 33745535776 scopus 로고    scopus 로고
    • D.J. Aldous, J.A. Fill, Reversible Markov Chains and Random Walks on Graphs, in preparation. Available from: .
  • 2
    • 0009843739 scopus 로고    scopus 로고
    • The Malaurin series for performance functions of Markov chains
    • Cao X.-R. The Malaurin series for performance functions of Markov chains. Adv. Appl. Prob. 30 (1998) 676-692
    • (1998) Adv. Appl. Prob. , vol.30 , pp. 676-692
    • Cao, X.-R.1
  • 3
    • 0035885345 scopus 로고    scopus 로고
    • Comparison of perturbation bounds for a stationary distribution of a Markov chain
    • Cho G.E., and Meyer C.D. Comparison of perturbation bounds for a stationary distribution of a Markov chain. Linear Algebra Appl. 335 (2001) 137-150
    • (2001) Linear Algebra Appl. , vol.335 , pp. 137-150
    • Cho, G.E.1    Meyer, C.D.2
  • 4
    • 0034375401 scopus 로고    scopus 로고
    • Markov chain sensitivity measured by mean first passage time
    • Cho G.E., and Meyer C.D. Markov chain sensitivity measured by mean first passage time. Linear Algebra Appl. 316 (2000) 21-28
    • (2000) Linear Algebra Appl. , vol.316 , pp. 21-28
    • Cho, G.E.1    Meyer, C.D.2
  • 5
    • 27344445788 scopus 로고    scopus 로고
    • Stationary distributions and mean first passage times of perturbed Markov chains
    • Hunter J.J. Stationary distributions and mean first passage times of perturbed Markov chains. Linear Algebra Appl. 410 (2005) 217-243
    • (2005) Linear Algebra Appl. , vol.410 , pp. 217-243
    • Hunter, J.J.1
  • 6
    • 27344458042 scopus 로고
    • Stationary distributions and mean first passage times in Markov chains using generalised inverses
    • Hunter J.J. Stationary distributions and mean first passage times in Markov chains using generalised inverses. Asia-Pacific J. Oper. Res. 9 (1992) 145-153
    • (1992) Asia-Pacific J. Oper. Res. , vol.9 , pp. 145-153
    • Hunter, J.J.1
  • 9
    • 0001479193 scopus 로고
    • Generalized inverses and their application to applied probability problems
    • Hunter J.J. Generalized inverses and their application to applied probability problems. Linear Algebra Appl. 45 (1982) 157-198
    • (1982) Linear Algebra Appl. , vol.45 , pp. 157-198
    • Hunter, J.J.1
  • 11
  • 12
    • 0000760183 scopus 로고
    • The condition of a finite Markov chain and perturbation bounds for the limiting probabilities
    • Meyer C.D. The condition of a finite Markov chain and perturbation bounds for the limiting probabilities. SIAM J. Algebraic Discrete Methods 1 (1980) 273-283
    • (1980) SIAM J. Algebraic Discrete Methods , vol.1 , pp. 273-283
    • Meyer, C.D.1
  • 13
    • 0016534380 scopus 로고
    • The role of the group generalized inverse in the theory of finite Markov chains
    • Meyer C.D. The role of the group generalized inverse in the theory of finite Markov chains. SIAM Rev. 17 (1975) 443-464
    • (1975) SIAM Rev. , vol.17 , pp. 443-464
    • Meyer, C.D.1
  • 15
    • 0001296683 scopus 로고
    • Perturbation theory and finite Markov chains
    • Schweitzer P. Perturbation theory and finite Markov chains. J. Appl. Probab. 5 (1968) 410-413
    • (1968) J. Appl. Probab. , vol.5 , pp. 410-413
    • Schweitzer, P.1
  • 16
    • 0037893168 scopus 로고
    • Perturbation of the stationary distribution measured by the ergodicity coefficients
    • Seneta E. Perturbation of the stationary distribution measured by the ergodicity coefficients. Adv. Appl. Prob. 20 (1988) 228-230
    • (1988) Adv. Appl. Prob. , vol.20 , pp. 228-230
    • Seneta, E.1
  • 17
    • 0037886159 scopus 로고
    • Sensitivity analysis, ergodicity coefficients, and rank-one updates for finite Markov chains
    • Stewart W.J. (Ed), Marcel-Dekker, New York
    • Seneta E. Sensitivity analysis, ergodicity coefficients, and rank-one updates for finite Markov chains. In: Stewart W.J. (Ed). Numerical Solution of Markov Chains, Probability: Pure and Applied (1991), Marcel-Dekker, New York 121-129
    • (1991) Numerical Solution of Markov Chains, Probability: Pure and Applied , pp. 121-129
    • Seneta, E.1
  • 18
    • 33745567280 scopus 로고    scopus 로고
    • G.P.H. Styan, Selected topics in Markov chain theory with an application to marketing, MA thesis, Columbia University, 1964.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.