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Volumn 10, Issue 1, 2000, Pages 203-225

Nesting EM algorithms for computational efficiency

Author keywords

Bridge sampling; Efficient data augmentation; Gibbs sampler; GLMM; Hierarchical models; Importance sampling; MCEM algorithm; MCMC; Probit models; t models; Working parameters

Indexed keywords


EID: 0034420823     PISSN: 10170405     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (37)

References (25)
  • 1
    • 0030933587 scopus 로고    scopus 로고
    • Maximum likelihood estimation for probit-linear mixed models with correlated random effects
    • Chan, J. S. K. and Kuk, A. Y. C. (1997). Maximum likelihood estimation for probit-linear mixed models with correlated random effects. Biometrics 53, 86-97.
    • (1997) Biometrics , vol.53 , pp. 86-97
    • Chan, J.S.K.1    Kuk, A.Y.C.2
  • 2
    • 21844487061 scopus 로고
    • Monte Carlo EM estimation for time series models involving counts
    • Chan, K. S. and Ledolter, J. (1995). Monte Carlo EM estimation for time series models involving counts. J. Amer. Statist. Assoc. 90, 242-252.
    • (1995) J. Amer. Statist. Assoc. , vol.90 , pp. 242-252
    • Chan, K.S.1    Ledolter, J.2
  • 3
    • 0002629270 scopus 로고
    • Maximum likelihood estimation from incomplete-data via the EM algorithm
    • Dempster, A. P., Laird, N. M. and Rubin, D. B. (1977). Maximum likelihood estimation from incomplete-data via the EM algorithm (with discussion). J. Roy. Statist. Soc. Ser. B 39, 1-38.
    • (1977) J. Roy. Statist. Soc. Ser. B , vol.39 , pp. 1-38
    • Dempster, A.P.1    Laird, N.M.2    Rubin, D.B.3
  • 4
    • 0028517016 scopus 로고
    • Space-alternating generalized expectation-maximization algorithm
    • Fessler, J. A. and Hero, A. O. (1994). Space-alternating generalized expectation-maximization algorithm. IEEE Tran. on Signal Processing 42, 2664-2677.
    • (1994) IEEE Tran. on Signal Processing , vol.42 , pp. 2664-2677
    • Fessler, J.A.1    Hero, A.O.2
  • 6
    • 0001508169 scopus 로고    scopus 로고
    • Parameter expansion for EM acceleration: The PX-EM algorithm
    • Liu, C., Rubin, D. B. and Wu, Y. N. (1998). Parameter expansion for EM acceleration: the PX-EM algorithm. Biometrika 85, 755-770.
    • (1998) Biometrika , vol.85 , pp. 755-770
    • Liu, C.1    Rubin, D.B.2    Wu, Y.N.3
  • 7
    • 0000854270 scopus 로고
    • Covariance structure and convergence rate of the Gibbs sampler with various scans
    • Liu, J. S., Wong, W. H. and Kong, A. (1995). Covariance structure and convergence rate of the Gibbs sampler with various scans. J. Roy. Statist. Soc. Ser. B 57, 157-169.
    • (1995) J. Roy. Statist. Soc. Ser. B , vol.57 , pp. 157-169
    • Liu, J.S.1    Wong, W.H.2    Kong, A.3
  • 8
    • 21344497135 scopus 로고
    • Maximum likelihood variance components estimation for binary data
    • McCulloch, C. E. (1994). Maximum likelihood variance components estimation for binary data. J. Amer. Statist. Assoc. 89, 330-335.
    • (1994) J. Amer. Statist. Assoc. , vol.89 , pp. 330-335
    • McCulloch, C.E.1
  • 9
    • 0031479575 scopus 로고    scopus 로고
    • Maximum likelihood algorithms for generalized linear mixed models
    • McCulloch, C. E. (1997). Maximum likelihood algorithms for generalized linear mixed models. J. Amer. Statist. Assoc. 92, 162-170.
    • (1997) J. Amer. Statist. Assoc. , vol.92 , pp. 162-170
    • McCulloch, C.E.1
  • 11
    • 0030336223 scopus 로고    scopus 로고
    • Fitting full-information item factor models and an empirical investigation of bridge sampling
    • Meng, X. L. and Schilling, S. (1996). Fitting full-information item factor models and an empirical investigation of bridge sampling. J. Amer. Statist. Assoc. 91, 1254-1267.
    • (1996) J. Amer. Statist. Assoc. , vol.91 , pp. 1254-1267
    • Meng, X.L.1    Schilling, S.2
  • 13
    • 18244387717 scopus 로고    scopus 로고
    • The EM algorithm - An old folk song sung to a fast new tune
    • Meng, X. L. and van Dyk, D. A. (1997). The EM algorithm - an old folk song sung to a fast new tune (with discussion). J. Roy. Statist. Soc. Ser. B 59, 511-567.
    • (1997) J. Roy. Statist. Soc. Ser. B , vol.59 , pp. 511-567
    • Meng, X.L.1    Van Dyk, D.A.2
  • 14
    • 0001057239 scopus 로고    scopus 로고
    • Fast EM implementations for mixed-effects models
    • Meng, X. L. and van Dyk, D. A. (1998). Fast EM implementations for mixed-effects models. J. Roy. Statist. Soc. Ser. B 60, 559-578.
    • (1998) J. Roy. Statist. Soc. Ser. B , vol.60 , pp. 559-578
    • Meng, X.L.1    Van Dyk, D.A.2
  • 15
    • 0000761884 scopus 로고    scopus 로고
    • Seeking efficient data augmentation schemes via conditional and marginal augmentation
    • Meng, X. L. and van Dyk, D. A. (1999). Seeking efficient data augmentation schemes via conditional and marginal augmentation. Biometrika 86, 301-320.
    • (1999) Biometrika , vol.86 , pp. 301-320
    • Meng, X.L.1    Van Dyk, D.A.2
  • 16
    • 21444451325 scopus 로고    scopus 로고
    • Simulating ratios of normalizing constants via a simple identity: A theoretical exploration
    • Meng, X. L. and Wong, W. H. (1996). Simulating ratios of normalizing constants via a simple identity: a theoretical exploration. Statist. Sinica 6, 831-860.
    • (1996) Statist. Sinica , vol.6 , pp. 831-860
    • Meng, X.L.1    Wong, W.H.2
  • 17
    • 0000661332 scopus 로고
    • A generalized multivariate analysis of variance model useful especially for growth curve problems
    • Potthoff, R. F. and Roy, S. N. (1964). A generalized multivariate analysis of variance model useful especially for growth curve problems. Biometrika 51, 313-326.
    • (1964) Biometrika , vol.51 , pp. 313-326
    • Potthoff, R.F.1    Roy, S.N.2
  • 18
    • 0000051645 scopus 로고    scopus 로고
    • Updating schemes, correlation structure, blocking and parameterization for the Gibbs sampler
    • Roberts, G. O. and Sahu, S. K. (1997). Updating schemes, correlation structure, blocking and parameterization for the Gibbs sampler. J. Roy. Statist. Soc. Ser. B. 59, 291-317.
    • (1997) J. Roy. Statist. Soc. Ser. B , vol.59 , pp. 291-317
    • Roberts, G.O.1    Sahu, S.K.2
  • 20
    • 23044521224 scopus 로고    scopus 로고
    • Fitting mixed-effects models using efficient EM-type algorithms
    • To appear
    • van Dyk, D. A. (2000a). Fitting mixed-effects models using efficient EM-type algorithms. J. Comput. Graphical Statist. To appear.
    • (2000) J. Comput. Graphical Statist.
    • Van Dyk, D.A.1
  • 21
    • 26144442554 scopus 로고    scopus 로고
    • Fast new EM-type algorithms with applications in astrophysics
    • Submitted
    • van Dyk, D. A. (2000b). Fast new EM-type algorithms with applications in astrophysics. Submitted to The Astrophysical J.
    • (2000) The Astrophysical J.
    • Van Dyk, D.A.1
  • 23
    • 0346503047 scopus 로고    scopus 로고
    • The art of data augmentation
    • Submitted
    • van Dyk, D. A. and Meng, X. L. (1999). The art of data augmentation. Submitted to Ann. Statist.
    • (1999) Ann. Statist.
    • Van Dyk, D.A.1    Meng, X.L.2
  • 24
    • 84950432017 scopus 로고
    • A Monte Carlo implementation of the EM algorithm and the poor man's data augmentation algorithm
    • Wei, G. C. G. and Tanner, M. A. (1990). A Monte Carlo implementation of the EM algorithm and the poor man's data augmentation algorithm. J. Amer. Statist. Assoc. 85, 699-704.
    • (1990) J. Amer. Statist. Assoc. , vol.85 , pp. 699-704
    • Wei, G.C.G.1    Tanner, M.A.2
  • 25
    • 0002210265 scopus 로고
    • On the convergence properties of the EM algorithm
    • Wu, C. F. J. (1983). On the convergence properties of the EM algorithm. Ann. Statist. 11, 95-103.
    • (1983) Ann. Statist. , vol.11 , pp. 95-103
    • Wu, C.F.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.