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Volumn 103, Issue 1, 2003, Pages 57-99

Polynomial ergodicity of Markov transition kernels

Author keywords

Computational methods in Markov chain; Markov chains with discrete parameters; Mixing; Polynomial convergence

Indexed keywords


EID: 0037210788     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-4149(02)00182-5     Document Type: Article
Times cited : (53)

References (27)
  • 1
    • 4243782830 scopus 로고
    • Critères d'ergodicitŕe de modèles markoviens
    • Estimation non-paramétrique sous des hypothèses de dépendance. Ph.D. Thesis, Univ. Paris IX- Dauphine, Paris
    • AngoNze, P., 1994. Critères d'ergodicitŕe de modèles markoviens. Estimation non-paramétrique sous des hypothèses de dépendance. Ph.D. Thesis, Univ. Paris IX- Dauphine, Paris.
    • (1994)
    • AngoNze, P.1
  • 2
    • 0011762626 scopus 로고    scopus 로고
    • Geometric and subgeometric rates for Markovian processes: A robust approach
    • Preprint-Université de Lille III
    • AngoNze, P., 2000. Geometric and subgeometric rates for Markovian processes: a robust approach. Preprint-Université de Lille III.
    • (2000)
    • AngoNze, P.1
  • 3
    • 0002284829 scopus 로고    scopus 로고
    • Iterated random functions
    • Diaconis, P., Freedman, D., 1999. Iterated random functions. SIAM Rev. 41 (1), 45-76.
    • (1999) SIAM Rev. , vol.41 , Issue.1 , pp. 45-76
    • Diaconis, P.1    Freedman, D.2
  • 5
    • 0003844567 scopus 로고
    • Théorie des processus markoviens
    • Dunod, Paris
    • Dynkin, E.B., 1963. Théorie des processus markoviens. Dunod, Paris.
    • (1963)
    • Dynkin, E.B.1
  • 6
    • 24244470221 scopus 로고    scopus 로고
    • Contrôle explicite d'ergodicité de chaîne de Markov: Applications à l'analyse de convergence de l'algorithme Monte-Carlo EM
    • Ph.D. Thesis, Université Pierre et Marie Curie, Paris
    • Fort, G., 2001. Contrôle explicite d'ergodicité de chaîne de Markov: applications à l'analyse de convergence de l'algorithme Monte-Carlo EM. Ph.D. Thesis, Université Pierre et Marie Curie, Paris.
    • (2001)
    • Fort, G.1
  • 7
    • 0000580574 scopus 로고    scopus 로고
    • V-subgeometric ergodicity for a Hastings-Metropolis algorithm
    • Fort, G., Moulines, E., 2000. V-subgeometric ergodicity for a Hastings-Metropolis algorithm. Statist. Probab. Lett. 49 (4), 401-410.
    • (2000) Statist. Probab. Lett. , vol.49 , Issue.4 , pp. 401-410
    • Fort, G.1    Moulines, E.2
  • 8
    • 0001562199 scopus 로고    scopus 로고
    • Geometric ergodicity of Metropolis algorithms
    • Jarner, S.F., Hansen, E., 2000. Geometric ergodicity of Metropolis algorithms. Stochastic Processes Appl. 85 (2), 341-361.
    • (2000) Stochastic Processes Appl. , vol.85 , Issue.2 , pp. 341-361
    • Jarner, S.F.1    Hansen, E.2
  • 9
    • 0036117479 scopus 로고    scopus 로고
    • Polynomial convergence rates of Markov Chains
    • Jarner, S., Roberts, G.O., 2002. Polynomial convergence rates of Markov Chains. Ann. Appl. Probab. 12 (1), 224-247.
    • (2002) Ann. Appl. Probab. , vol.12 , Issue.1 , pp. 224-247
    • Jarner, S.1    Roberts, G.O.2
  • 10
    • 0001508348 scopus 로고
    • Regeneration and general Markov Chains
    • Kalashnikov, V.V., 1994. Regeneration and general Markov Chains. J. Appl. Math. Stochastic Anal. 7 (3), 357-371.
    • (1994) J. Appl. Math. Stochastic Anal. , vol.7 , Issue.3 , pp. 357-371
    • Kalashnikov, V.V.1
  • 11
    • 0001001934 scopus 로고
    • Subexponential distributions and integrated tails
    • Klüppelberg, C., 1988. Subexponential distributions and integrated tails. J. Appl. Probab. 25 (1), 132-141.
    • (1988) J. Appl. Probab. , vol.25 , Issue.1 , pp. 132-141
    • Klüppelberg, C.1
  • 12
    • 0030551974 scopus 로고    scopus 로고
    • Rates of convergence of the Hastings and Metropolis algorithms
    • Mengersen, K.L., Tweedie, R.L., 1996. Rates of convergence of the Hastings and Metropolis algorithms. Ann. Statist. 24 (1), 101-121.
    • (1996) Ann. Statist. , vol.24 , Issue.1 , pp. 101-121
    • Mengersen, K.L.1    Tweedie, R.L.2
  • 13
    • 0003637131 scopus 로고
    • Markov Chains and Stochastic Stability
    • Springer, London Ltd., London
    • Meyn, S.P., Tweedie, R.L., 1993. Markov Chains and Stochastic Stability. Springer, London Ltd., London.
    • (1993)
    • Meyn, S.P.1    Tweedie, R.L.2
  • 14
    • 84986786266 scopus 로고
    • Sur un modèle autorégressif non linéaire: Ergodicité et ergodicité géométrique
    • Mokkadem, A., 1987. Sur un modèle autorégressif non linéaire: ergodicité et ergodicité géométrique. J. Time Ser. Anal. 8 (2), 195-204.
    • (1987) J. Time Ser. Anal. , vol.8 , Issue.2 , pp. 195-204
    • Mokkadem, A.1
  • 15
    • 0003919677 scopus 로고    scopus 로고
    • Monte Carlo statistical methods
    • Springer, New York
    • Robert, C.P., Casella, G., 1999. Monte Carlo statistical methods. Springer, New York.
    • (1999)
    • Robert, C.P.1    Casella, G.2
  • 16
    • 33746388444 scopus 로고    scopus 로고
    • Geometric convergence and central limit theorems for multidimensional Hastings and Metropolis algorithms
    • Roberts, G.O., Tweedie, R.L., 1996. Geometric convergence and central limit theorems for multidimensional Hastings and Metropolis algorithms. Biometrika 83 (1), 95-110.
    • (1996) Biometrika , vol.83 , Issue.1 , pp. 95-110
    • Roberts, G.O.1    Tweedie, R.L.2
  • 17
    • 0001514831 scopus 로고    scopus 로고
    • Bounds on regeneration times and convergence rates for Markov Chains
    • Roberts, G.O., Tweedie, R.L., 1999. Bounds on regeneration times and convergence rates for Markov Chains. Stochastic Process. Appl. 80 (2), 211-229.
    • (1999) Stochastic Process. Appl. , vol.80 , Issue.2 , pp. 211-229
    • Roberts, G.O.1    Tweedie, R.L.2
  • 18
    • 0011733206 scopus 로고    scopus 로고
    • Corrigendum to: "Bounds on regeneration times and convergence rates for Markov chains"
    • Roberts, G.O., Tweedie, R.L., 2001. Corrigendum to: "Bounds on regeneration times and convergence rates for Markov chains". Stochastic Process. Appl. 91 (2), 337-338.
    • (2001) Stochastic Process. Appl. , vol.91 , Issue.2 , pp. 337-338
    • Roberts, G.O.1    Tweedie, R.L.2
  • 19
    • 84923618271 scopus 로고
    • Minorization conditions and convergence rates for Markov chain Monte Carlo
    • Rosenthal, J.S., 1995a. Minorization conditions and convergence rates for Markov chain Monte Carlo. J. Amer. Statist. Assoc. 90 (430), 558-566.
    • (1995) J. Amer. Statist. Assoc. , vol.90 , Issue.430 , pp. 558-566
    • Rosenthal, J.S.1
  • 20
    • 84923618271 scopus 로고
    • Correction: "Minorization conditions and convergence rates for Markov chain Monte Carlo"
    • Rosenthal, J.S., 1995b. Correction: "Minorization conditions and convergence rates for Markov chain Monte Carlo". J. Amer. Statist. Assoc. 90 (431), 1136.
    • (1995) J. Amer. Statist. Assoc. , vol.90 , Issue.431 , pp. 1136
    • Rosenthal, J.S.1
  • 21
    • 0001878188 scopus 로고    scopus 로고
    • A review of asymptotic convergence for general state space Markov Chains
    • Rosenthal, J.S., 2001. A review of asymptotic convergence for general state space Markov Chains. Far East J. Math. Sci. 5, 37-50.
    • (2001) Far East J. Math. Sci. , vol.5 , pp. 37-50
    • Rosenthal, J.S.1
  • 22
    • 0000231847 scopus 로고    scopus 로고
    • Langevin-Type Models I: Diffusions with given stationary distributions, and their discretizations
    • Stramer, O., Tweedie, R.L., 1999. Langevin-Type Models I: diffusions with given stationary distributions, and their discretizations. Methodol. Comput. Appl. Probab. 1 (3), 283-306.
    • (1999) Methodol. Comput. Appl. Probab. , vol.1 , Issue.3 , pp. 283-306
    • Stramer, O.1    Tweedie, R.L.2
  • 23
    • 0011769208 scopus 로고    scopus 로고
    • The rate of convergence of a homogeneous Markov chain arising from two-queue networks
    • Tanikawa, A., 1996. The rate of convergence of a homogeneous Markov chain arising from two-queue networks. Comput. Math. Appl. 31 (2), 103-109.
    • (1996) Comput. Math. Appl. , vol.31 , Issue.2 , pp. 103-109
    • Tanikawa, A.1
  • 24
    • 0000418710 scopus 로고    scopus 로고
    • Geometric ergodicity of nonlinear first order autoregressive models
    • Tanikawa, A., 1999. Geometric ergodicity of nonlinear first order autoregressive models. Comm. Statist. Stochastic Models 15 (2), 227-245.
    • (1999) Comm. Statist. Stochastic Models , vol.15 , Issue.2 , pp. 227-245
    • Tanikawa, A.1
  • 25
    • 0001153782 scopus 로고
    • Subgeometric rates of convergence of f -ergodic Markov Chains
    • Tuominen, P., Tweedie, R.L., 1994. Subgeometric rates of convergence of f -ergodic Markov Chains. Adv. Appl. Probab. 26 (3), 775-798.
    • (1994) Adv. Appl. Probab. , vol.26 , Issue.3 , pp. 775-798
    • Tuominen, P.1    Tweedie, R.L.2
  • 26
    • 0002179369 scopus 로고
    • Criteria for rates of convergence of Markov chains, with application to queueing and storage theory
    • Kingman, J.F.C., Reuter, G.E.H. (Eds.), Cambridge University Press, Cambridge
    • Tweedie, R.L., 1983. Criteria for rates of convergence of Markov chains, with application to queueing and storage theory. In: Kingman, J.F.C., Reuter, G.E.H. (Eds.), Probability, Statistics and Analysis. Cambridge University Press, Cambridge, pp. 260-276.
    • (1983) Probability, Statistics and Analysis , pp. 260-276
    • Tweedie, R.L.1
  • 27
    • 0033622220 scopus 로고    scopus 로고
    • On polynomial mixing and the rate of convergence for stochastic difference and differential equations
    • Veretennikov, A.Y., 2000. On polynomial mixing and the rate of convergence for stochastic difference and differential equations. Theory Probab. Appl. 44 (2), 361-374.
    • (2000) Theory Probab. Appl. , vol.44 , Issue.2 , pp. 361-374
    • Veretennikov, A.Y.1


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