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Volumn 17, Issue 2, 2008, Pages 410-425

Posterior simulation in the generalized linear mixed model with semiparametric random effects

Author keywords

Dirichlet process models; Laplace approximation; MCMC; Nonconjugate models; P lya urn scheme; Semiparametric Bayesian methods

Indexed keywords


EID: 46849110378     PISSN: 10618600     EISSN: None     Source Type: Journal    
DOI: 10.1198/106186008X319854     Document Type: Article
Times cited : (15)

References (34)
  • 1
    • 0000708831 scopus 로고
    • Mixtures of Dirichlet Processes with Applications to Bayesian Nonparametric Problems
    • Antoniak, C. E. (1974), "Mixtures of Dirichlet Processes with Applications to Bayesian Nonparametric Problems," The Annals of Statistics, 2, 1152-1174.
    • (1974) The Annals of Statistics , vol.2 , pp. 1152-1174
    • Antoniak, C.E.1
  • 2
    • 0002617436 scopus 로고
    • Ferguson Distributions via Pólya Urn Schemes
    • Blackwell, D., and MacQueen, J. B. (1973), "Ferguson Distributions via Pólya Urn Schemes," The Annals of Statistics, 1, 353-355.
    • (1973) The Annals of Statistics , vol.1 , pp. 353-355
    • Blackwell, D.1    MacQueen, J.B.2
  • 3
    • 0001377483 scopus 로고
    • Statistical Methods in Cancer Research
    • Lyon: International Agency for Research on Cancer
    • Breslow, N., and Day, N. E. (1987), Statistical Methods in Cancer Research, Volume 2: The Design and Analysis of Cohort Studies, Lyon: International Agency for Research on Cancer.
    • (1987) The Design and Analysis of Cohort Studies , vol.2
    • Breslow, N.1    Day, N.E.2
  • 5
    • 0000904732 scopus 로고    scopus 로고
    • A Semiparametric Bayesian Model for Randomized Block Designs
    • Bush, C. A., and MacEachern S. N. (1996), "A Semiparametric Bayesian Model for Randomized Block Designs," Biometrika, 83, 275-285.
    • (1996) Biometrika , vol.83 , pp. 275-285
    • Bush, C.A.1    MacEachern, S.N.2
  • 6
    • 0001149688 scopus 로고
    • Bayes Inference in Regression Models with ARMA(p, q) Errors
    • Chib, S., and Greenberg, E. (1994), "Bayes Inference in Regression Models with ARMA(p, q) Errors," Journal of Econometrics, 64, 183-206.
    • (1994) Journal of Econometrics , vol.64 , pp. 183-206
    • Chib, S.1    Greenberg, E.2
  • 7
    • 0002609888 scopus 로고    scopus 로고
    • Posterior Simulation and Bayes Factors in Panel Count Data Models
    • Chib, S., Greenberg, E., and Winkelmann, R. (1998), "Posterior Simulation and Bayes Factors in Panel Count Data Models," Journal of Econometrics, 86, 33-54.
    • (1998) Journal of Econometrics , vol.86 , pp. 33-54
    • Chib, S.1    Greenberg, E.2    Winkelmann, R.3
  • 11
    • 0001120413 scopus 로고
    • Estimating Normal Means With a Dirichlet Process Prior
    • Ferguson, T. S. (1973), "Estimating Normal Means With a Dirichlet Process Prior," The Annals of Statistics, 1, 209-230.
    • (1973) The Annals of Statistics , vol.1 , pp. 209-230
    • Ferguson, T.S.1
  • 12
    • 46849101719 scopus 로고    scopus 로고
    • Gauss-Seidel Estimation of Generalized Linear Mixed Models with Application to Poisson Modeling of Spatially Varying Disease Rates
    • tentatively accepted
    • Guha, S., Ryan, L. M., and Morara, M. (2008), "Gauss-Seidel Estimation of Generalized Linear Mixed Models with Application to Poisson Modeling of Spatially Varying Disease Rates," Journal of Computational and Graphical Statistics, tentatively accepted.
    • (2008) Journal of Computational and Graphical Statistics
    • Guha, S.1    Ryan, L.M.2    Morara, M.3
  • 13
    • 46849100398 scopus 로고    scopus 로고
    • Age and Gender Modify the Association Between Socio-economic Factors and Heart Disease in New South Wales, Australia
    • in preparation
    • Guha, S., Ryan, L. M., Morgan, G., and Beard, J. (2007), "Age and Gender Modify the Association Between Socio-economic Factors and Heart Disease in New South Wales, Australia," in preparation.
    • (2007)
    • Guha, S.1    Ryan, L.M.2    Morgan, G.3    Beard, J.4
  • 14
    • 84890913931 scopus 로고
    • Maximum Likelihood Approaches to Variance Component Estimation and to Related Problems
    • Harville, D. A. (1977), "Maximum Likelihood Approaches to Variance Component Estimation and to Related Problems," Journal of the American Statistical Association, 72, 320-340.
    • (1977) Journal of the American Statistical Association , vol.72 , pp. 320-340
    • Harville, D.A.1
  • 16
    • 0036661094 scopus 로고    scopus 로고
    • Dirichlet Orior Sieves in Finite Normal Mixtures
    • Ishwaran, H., and Zarepour, M. (2002), "Dirichlet Orior Sieves in Finite Normal Mixtures," Statistica Sinica, 12, 941-963.
    • (2002) Statistica Sinica , vol.12 , pp. 941-963
    • Ishwaran, H.1    Zarepour, M.2
  • 17
    • 0031662186 scopus 로고    scopus 로고
    • A Semiparametric Bayesian Approach to the Random Effects Model
    • Kleinman, K. P., and Ibrahim, J. G. (1998a), "A Semiparametric Bayesian Approach to the Random Effects Model," Biometrics, 54, 921-938.
    • (1998) Biometrics , vol.54 , pp. 921-938
    • Kleinman, K.P.1    Ibrahim, J.G.2
  • 18
    • 0032583158 scopus 로고    scopus 로고
    • A Semi-parametric Bayesian Approach to Generalized Linear Mixed Models
    • 17
    • (1998b), "A Semi-parametric Bayesian Approach to Generalized Linear Mixed Models," Statistics in Medicine, 17, 2579-2596.
    • Statistics in Medicine , pp. 2579-2596
  • 19
    • 0020333131 scopus 로고
    • Random-Effects Models for Longitudinal Data
    • Laird, N. M., and Ware, J. H. (1982), "Random-Effects Models for Longitudinal Data," Biometrics, 38, 963-974.
    • (1982) Biometrics , vol.38 , pp. 963-974
    • Laird, N.M.1    Ware, J.H.2
  • 21
    • 46849106666 scopus 로고    scopus 로고
    • , Computational Methods for Mixture of Dirichlet Process Models, in Practical Nonparametric and Semiparametric Bayesian Statistics, eds. D. Dey, P. Müller, and D. Sinha, New York: Springer-Verlag, pp. 23-43.
    • (1998), "Computational Methods for Mixture of Dirichlet Process Models," in Practical Nonparametric and Semiparametric Bayesian Statistics, eds. D. Dey, P. Müller, and D. Sinha, New York: Springer-Verlag, pp. 23-43.
  • 23
    • 0030860720 scopus 로고    scopus 로고
    • Contribution of Job Control and Other Risk Factors to Social Variations in Coronary Heart Disease Incidence
    • Marmot, M. G., Bosma H., Hemingway H., et al. (1997). "Contribution of Job Control and Other Risk Factors to Social Variations in Coronary Heart Disease Incidence," Lancet, 350, 235-239.
    • (1997) Lancet , vol.350 , pp. 235-239
    • Marmot, M.G.1    Bosma, H.2    Hemingway, H.3
  • 25
    • 77950032550 scopus 로고    scopus 로고
    • Markov Chain Sampling Methods for Dirichlet Process Mixture Models
    • Neal, R. M. (2000), "Markov Chain Sampling Methods for Dirichlet Process Mixture Models," Journal of Computational and Graphical Statistics, 9, 283-297.
    • (2000) Journal of Computational and Graphical Statistics , vol.9 , pp. 283-297
    • Neal, R.M.1
  • 26
    • 40249114903 scopus 로고    scopus 로고
    • Retrospective MCMC for Dirichlet Process Hierarchical Models
    • Papaspiliopoulos, O., and Roberts, G. (2008), "Retrospective MCMC for Dirichlet Process Hierarchical Models," Biometrika, 95, 169-186.
    • (2008) Biometrika , vol.95 , pp. 169-186
    • Papaspiliopoulos, O.1    Roberts, G.2
  • 28
    • 0031285157 scopus 로고    scopus 로고
    • Weak Convergence and Optimal Scaling of Random Walk Metropolis Algorithms
    • Roberts, G. O., Gelman, A., and Gilks, W. R. (1997), "Weak Convergence and Optimal Scaling of Random Walk Metropolis Algorithms," Annals of Applied Probability, 7, 110-120.
    • (1997) Annals of Applied Probability , vol.7 , pp. 110-120
    • Roberts, G.O.1    Gelman, A.2    Gilks, W.R.3
  • 29
    • 0000720609 scopus 로고
    • A Constructive Definition of Dirichlet Priors
    • Sethuraman, J. (1994), "A Constructive Definition of Dirichlet Priors," Statistica Sinica, 4, 639-650.
    • (1994) Statistica Sinica , vol.4 , pp. 639-650
    • Sethuraman, J.1
  • 30
    • 46849102708 scopus 로고    scopus 로고
    • Sethuraman, J., and Tiwari, R. C. (1982), Convergence of Dirichlet Measures and the Interpretation of their Parameter, in Statistical Decision Theory and Related Topics III, in two eds. S.S. Gupta and J. O. Berger, 2, New York: Academic Press, pp. 305-315.
    • Sethuraman, J., and Tiwari, R. C. (1982), "Convergence of Dirichlet Measures and the Interpretation of their Parameter," in Statistical Decision Theory and Related Topics III, in two volumes, eds. S.S. Gupta and J. O. Berger, 2, New York: Academic Press, pp. 305-315.
  • 31
    • 0000576595 scopus 로고
    • Markov Chains for Exploring Posterior Distributions
    • Tierney, L. (1994), "Markov Chains for Exploring Posterior Distributions," The Annals of Statistics, 22, 1701-1728.
    • (1994) The Annals of Statistics , vol.22 , pp. 1701-1728
    • Tierney, L.1
  • 33
    • 0002612391 scopus 로고
    • Hierarchical Priors and Mixture Models, With Application in Regression and Density Estimation
    • eds. A. F. M. Smith and P. Freeman, New York: Wiley, pp
    • West, M., Müller, P., and Escobar, M. D. (1994), "Hierarchical Priors and Mixture Models, With Application in Regression and Density Estimation," in Aspects of Uncertainty: A Tribute to D. V. Lindley, eds. A. F. M. Smith and P. Freeman, New York: Wiley, pp. 363-368.
    • (1994) Aspects of Uncertainty: A Tribute to D. V. Lindley , pp. 363-368
    • West, M.1    Müller, P.2    Escobar, M.D.3
  • 34
    • 84910906566 scopus 로고
    • Generalized Linear Models with Random Effects: A Gibbs Sampling Approach
    • Zeger, S. L., and Karim, M. R. (1991), "Generalized Linear Models with Random Effects: A Gibbs Sampling Approach," Journal of the American Statistical Association, 86, 79-86.
    • (1991) Journal of the American Statistical Association , vol.86 , pp. 79-86
    • Zeger, S.L.1    Karim, M.R.2


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