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Volumn 12, Issue , 2007, Pages 454-464

On variance conditions for markov chain clts

Author keywords

Asymptotic variance; Central limit theorems; Markov chains; Reversibility; Spectral measure

Indexed keywords


EID: 37449027766     PISSN: None     EISSN: 1083589X     Source Type: Journal    
DOI: 10.1214/ECP.v12-1336     Document Type: Article
Times cited : (40)

References (23)
  • 2
    • 34250134276 scopus 로고
    • A local limit theorem for attraction to the standard normal law: The case of infinite variance
    • S.K. Basu (1984), A local limit theorem for attraction to the standard normal law: The case of infinite variance. Metrika 31, 245-252. Available at http://www.springerlink.com/content/v616742404102u13/ MR0754965
    • (1984) Metrika , vol.31 , pp. 245-252
    • Basu, S.K.1
  • 4
    • 0018069936 scopus 로고
    • On Distribution-Free Lower Confidence Limits for the Mean of a Nonnegative Random Variable
    • M. Breth, J. S. Maritz, and E. J. Williams (1978), On Distribution-Free Lower Confidence Limits for the Mean of a Nonnegative Random Variable. Biometrika 65, 529-534.
    • (1978) Biometrika , vol.65 , pp. 529-534
    • Breth, M.1    Maritz, J.S.2    Williams, E.J.3
  • 5
    • 0000576596 scopus 로고
    • Discussion paper
    • K.S. Chan and C.J. Geyer (1994), Discussion paper. Ann. Stat. 22, 1747-1758.
    • (1994) Ann. Stat , vol.22 , pp. 1747-1758
    • Chan, K.S.1    Geyer, C.J.2
  • 6
    • 0012949307 scopus 로고    scopus 로고
    • Limit theorems for functionals of ergodic Markov chains with general state space
    • X. Chen (1999). Limit theorems for functionals of ergodic Markov chains with general state space. Mem. Amer. Math. Soc. 139.
    • (1999) Mem. Amer. Math. Soc , pp. 139
    • Chen, X.1
  • 8
    • 84972511893 scopus 로고
    • Practical Markov chain Monte Carlo
    • C.J. Geyer (1992), Practical Markov chain Monte Carlo. Stat. Sci., Vol. 7, No. 4, 473-483.
    • (1992) Stat. Sci , vol.7 , Issue.4 , pp. 473-483
    • Geyer, C.J.1
  • 9
    • 17444373965 scopus 로고    scopus 로고
    • On the central limit theorem for geometrically ergodic Markov chains
    • O. Haggstrõm (2005), On the central limit theorem for geometrically ergodic Markov chains. Probab. Th. Relat. Fields 132, 74-82.
    • (2005) Probab. Th. Relat. Fields , vol.132 , pp. 74-82
    • Haggstrõm, O.1
  • 10
    • 2142780945 scopus 로고    scopus 로고
    • On the Applicabil-ity of Regenerative Simulation in Markov Chain Monte Carlo
    • J.P. Hobert, G.L. Jones, B. Presnell, and J.S. Rosenthal (2002), On the Applicabil-ity of Regenerative Simulation in Markov Chain Monte Carlo. Biometrika 89, 731-743.
    • (2002) Biometrika , vol.89 , pp. 731-743
    • Hobert, J.P.1    Jones, G.L.2    Presnell, B.3    Rosenthal, J.S.4
  • 12
    • 33645087459 scopus 로고    scopus 로고
    • On the Markov chain central limit theorem
    • G.L. Jones (2004), On the Markov chain central limit theorem. Prob. Surveys 1, 299-320.
    • (2004) Prob. Surveys , vol.1 , pp. 299-320
    • Jones, G.L.1
  • 13
    • 34250130646 scopus 로고
    • Central limit theorem for additive functionals of reversible Markov processes and applications to simple exclusions
    • C. Kipnis and S.R.S. Varadhan (1986), Central limit theorem for additive functionals of reversible Markov processes and applications to simple exclusions. Comm. Math. Phys. 104, 1-19.
    • (1986) Comm. Math. Phys , vol.104 , pp. 1-19
    • Kipnis, C.1    Varadhan, S.R.S.2
  • 16
    • 0002720637 scopus 로고
    • Recent advances in the central limit theorem and its weak invariance principle for mixing sequences of random variables (A survey)
    • E. Eberlein and M.S. Taqqu, eds., Birkhauser, Cambridge, Mass
    • M. Peligrad (1986), Recent advances in the central limit theorem and its weak invariance principle for mixing sequences of random variables (a survey). In Dependence in Probability and Statistics: A Survey of Recent Results, E. Eberlein and M.S. Taqqu, eds., Birkhauser, Cambridge, Mass., pp. 193-223.
    • (1986) Dependence in Probability and Statistics: A Survey of Recent Results , pp. 193-223
    • Peligrad, M.1
  • 17
    • 0033233847 scopus 로고    scopus 로고
    • A note on acceptance rate criteria for CLTs for Metropolis-Hastings algorithms
    • G.O. Roberts (1999), A note on acceptance rate criteria for CLTs for Metropolis-Hastings algorithms. J. Appl. Prob. 36, 1210-1217.
    • (1999) J. Appl. Prob , vol.36 , pp. 1210-1217
    • Roberts, G.O.1
  • 18
    • 0002074149 scopus 로고    scopus 로고
    • Geometric ergodicity and hybrid Markov chains
    • Paper
    • G.O. Roberts and J.S. Rosenthal (1997), Geometric ergodicity and hybrid Markov chains. Electronic Comm. Prob. 2, Paper no. 2, 13-25.
    • (1997) Electronic Comm. Prob , vol.2 , Issue.2 , pp. 13-25
    • Roberts, G.O.1    Rosenthal, J.S.2
  • 19
    • 84890736685 scopus 로고    scopus 로고
    • General state space Markov chains and MCMC algorithms
    • G.O. Roberts and J.S. Rosenthal (2004), General state space Markov chains and MCMC algorithms. Prob. Surveys 1, 20-71.
    • (2004) Prob. Surveys , vol.1 , pp. 20-71
    • Roberts, G.O.1    Rosenthal, J.S.2
  • 20
    • 85037898351 scopus 로고    scopus 로고
    • Variance Bounding Markov Chains. Preprint
    • G.O. Roberts and J.S. Rosenthal (2006), Variance Bounding Markov Chains. Preprint.
    • (2006)
    • Roberts, G.O.1    Rosenthal, J.S.2
  • 21
    • 0001878188 scopus 로고    scopus 로고
    • A review of asymptotic convergence for general state space Markov chains. Far East
    • J.S. Rosenthal (2001), A review of asymptotic convergence for general state space Markov chains. Far East J. Theor. Stat. 5, 37-50.
    • (2001) J. Theor. Stat , vol.5 , pp. 37-50
    • Rosenthal, J.S.1
  • 22
  • 23
    • 0000576595 scopus 로고
    • Markov chains for exploring posterior distributions (With discussion)
    • L. Tierney (1994), Markov chains for exploring posterior distributions (with discussion). Ann. Stat. 22, 1701-1762.
    • (1994) Ann. Stat , vol.22 , pp. 1701-1762
    • Tierney, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.