메뉴 건너뛰기




Volumn 14, Issue 3, 2004, Pages 1295-1305

A mixture representation of π with applications in Markov chain Monte Carlo and perfect sampling

Author keywords

Burn in; Drift condition; Geometric ergodicity; Kac's theorem; Minorization condition; Multigamma Coupler; Read Once CFTP; Regeneration; Split chain

Indexed keywords


EID: 9744242175     PISSN: 10505164     EISSN: 10505164     Source Type: Journal    
DOI: 10.1214/105051604000000305     Document Type: Article
Times cited : (25)

References (16)
  • 1
    • 0000991156 scopus 로고
    • A new approach to the limit theory of recurrent Markov chains
    • ATHREYA, K. B. and NEY, P. (1978). A new approach to the limit theory of recurrent Markov chains. Trans. Amer. Math. Soc. 245 493-501.
    • (1978) Trans. Amer. Math. Soc. , vol.245 , pp. 493-501
    • Athreya, K.B.1    Ney, P.2
  • 3
    • 14544282666 scopus 로고    scopus 로고
    • Quantitative bounds on convergence of time-inhomogeneous Markov chains
    • DOUC, R., MOULINES, E. and ROSENTHAL, J. S. (2004). Quantitative bounds on convergence of time-inhomogeneous Markov chains. Ann. Appl. Probab. 14(4).
    • (2004) Ann. Appl. Probab. , vol.14 , Issue.4
    • Douc, R.1    Moulines, E.2    Rosenthal, J.S.3
  • 4
    • 0032396902 scopus 로고    scopus 로고
    • An interruptible algorithm for perfect sampling via Markov chains
    • FILL, J. A. (1998). An interruptible algorithm for perfect sampling via Markov chains. Ann. Appl. Probab. 8 131-162.
    • (1998) Ann. Appl. Probab. , vol.8 , pp. 131-162
    • Fill, J.A.1
  • 5
    • 2142780945 scopus 로고    scopus 로고
    • On the applicability of regenerative simulation in Markov chain Monte Carlo
    • HUBERT, J. P., JONES, G. L., PRESNELL, B. and ROSENTHAL, J. S. (2002). On the applicability of regenerative simulation in Markov chain Monte Carlo. Biometrika 89 731-743.
    • (2002) Biometrika , vol.89 , pp. 731-743
    • Hubert, J.P.1    Jones, G.L.2    Presnell, B.3    Rosenthal, J.S.4
  • 6
    • 0000154395 scopus 로고    scopus 로고
    • Honest exploration of intractable probability distributions via Markov chain Monte Carlo
    • JONES, G. L. and HUBERT, J. P. (2001). Honest exploration of intractable probability distributions via Markov chain Monte Carlo. Statist. Sci. 16 312-334.
    • (2001) Statist. Sci. , vol.16 , pp. 312-334
    • Jones, G.L.1    Hubert, J.P.2
  • 7
    • 24344493048 scopus 로고    scopus 로고
    • Sufficient burn-in for Gibbs samplers for a hierarchical random effects model
    • JONES, G. L. and HUBERT, J. P. (2004). Sufficient burn-in for Gibbs samplers for a hierarchical random effects model. Ann. Statist. 32 784-817.
    • (2004) Ann. Statist. , vol.32 , pp. 784-817
    • Jones, G.L.1    Hubert, J.P.2
  • 9
    • 0000566364 scopus 로고
    • Computable bounds for geometric convergence rates of Markov chains
    • MEYN, S. P. and TWEEDIE, R. L. (1994). Computable bounds for geometric convergence rates of Markov chains. Ann. Appl. Probab. 4 981-1011.
    • (1994) Ann. Appl. Probab. , vol.4 , pp. 981-1011
    • Meyn, S.P.1    Tweedie, R.L.2
  • 10
    • 0032363044 scopus 로고    scopus 로고
    • Exact sampling from a continuous state space
    • MURDOCH, D. J. and GREEN, P. J. (1998). Exact sampling from a continuous state space. Scand. J. Statist. 25 483-502.
    • (1998) Scand. J. Statist. , vol.25 , pp. 483-502
    • Murdoch, D.J.1    Green, P.J.2
  • 11
    • 0000427555 scopus 로고
    • A splitting technique for Harris recurrent Markov chains
    • NUMMELIN, E. (1978). A splitting technique for Harris recurrent Markov chains. Z. Wahrsch. Verw. Gebiete 43 309-318.
    • (1978) Z. Wahrsch. Verw. Gebiete , vol.43 , pp. 309-318
    • Nummelin, E.1
  • 13
    • 0005193926 scopus 로고    scopus 로고
    • Exact sampling with coupled Markov chains and applications to statistical mechanics
    • PROPP, J. G. and WILSON, D. B. (1996). Exact sampling with coupled Markov chains and applications to statistical mechanics. Random Structures Algorithms 9 223-252.
    • (1996) Random Structures Algorithms , vol.9 , pp. 223-252
    • Propp, J.G.1    Wilson, D.B.2
  • 14
    • 0001514831 scopus 로고    scopus 로고
    • Bounds on regeneration times and convergence rates for Markov chains
    • [Corrigendum (2001) 91 337-338]
    • ROBERTS, G. O. and TWEEDIE, R. L. (1999). Bounds on regeneration times and convergence rates for Markov chains. Stochastic Process. Appl. 80 211-229. [Corrigendum (2001) 91 337-338.]
    • (1999) Stochastic Process. Appl. , vol.80 , pp. 211-229
    • Roberts, G.O.1    Tweedie, R.L.2
  • 15
    • 84923618271 scopus 로고
    • Minorization conditions and convergence rates for Markov chain Monte Carlo
    • ROSENTHAL, J. S. (1995). Minorization conditions and convergence rates for Markov chain Monte Carlo. J. Amer. Statist. Assoc. 90 558-566.
    • (1995) J. Amer. Statist. Assoc. , vol.90 , pp. 558-566
    • Rosenthal, J.S.1
  • 16
    • 0034381555 scopus 로고    scopus 로고
    • How to couple from the past using a read-once source of randomness
    • WILSON, D. B. (2000). How to couple from the past using a read-once source of randomness. Random Structures Algorithms 16 85-113.
    • (2000) Random Structures Algorithms , vol.16 , pp. 85-113
    • Wilson, D.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.