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Volumn 99, Issue 466, 2004, Pages 421-438

Propriety of the posterior distribution and existence of the MLE for regression models with covariates missing at random

Author keywords

Binary regression model; Covariate distribution; Design matrix; Generalized linear model; Maple; Missing at random; Necessary and sufficient conditions; Noninformative prior; Parametric survival model; Poisson regression model

Indexed keywords


EID: 2942538581     PISSN: 01621459     EISSN: None     Source Type: Journal    
DOI: 10.1198/016214504000000368     Document Type: Article
Times cited : (19)

References (18)
  • 1
    • 0002662712 scopus 로고
    • On the existence of maximum likelihood estimates in logistic regression models
    • Albert, A., and Anderson, J. A. (1984), "On the Existence of Maximum Likelihood Estimates in Logistic Regression Models," Biometrika, 71, 1-10.
    • (1984) Biometrika , vol.71 , pp. 1-10
    • Albert, A.1    Anderson, J.A.2
  • 2
    • 0035102205 scopus 로고    scopus 로고
    • Maximum likelihood methods for cure rate models with missing covariates
    • Chen, M.-H., and Ibrahim, J. G. (2001), "Maximum Likelihood Methods for Cure Rate Models With Missing Covariates," Biometrics, 57, 43-52.
    • (2001) Biometrics , vol.57 , pp. 43-52
    • Chen, M.-H.1    Ibrahim, J.G.2
  • 3
    • 0036616826 scopus 로고    scopus 로고
    • Bayesian methods for missing covariates in cure rate models
    • Chen, M.-H., Ibrahim, J. G., and Lipsitz, S. R. (2002), "Bayesian Methods for Missing Covariates in Cure Rate Models," Lifetime Data Analysis, 8, 117-146.
    • (2002) Lifetime Data Analysis , vol.8 , pp. 117-146
    • Chen, M.-H.1    Ibrahim, J.G.2    Lipsitz, S.R.3
  • 4
    • 0033474268 scopus 로고    scopus 로고
    • Prior elicitation, variable selection and Bayesian computation for logistic regression models
    • Chen, M.-H., Ibrahim, J. G., and Yiannoutsos, C. (1999), "Prior Elicitation, Variable Selection and Bayesian Computation for Logistic Regression Models," Journal of the Royal Statistical Society, Ser. B, 61, 223-242.
    • (1999) Journal of the Royal Statistical Society, Ser. B , vol.61 , pp. 223-242
    • Chen, M.-H.1    Ibrahim, J.G.2    Yiannoutsos, C.3
  • 5
    • 23044522526 scopus 로고    scopus 로고
    • Propriety of posterior distribution for dichotomous quantal response models with general link functions
    • Chen, M.-H., and Shao, Q.-M. (2001), "Propriety of Posterior Distribution for Dichotomous Quantal Response Models With General Link Functions," Proceedings of the American Mathematical Society, 129, 293-302.
    • (2001) Proceedings of the American Mathematical Society , vol.129 , pp. 293-302
    • Chen, M.-H.1    Shao, Q.-M.2
  • 6
    • 0000811835 scopus 로고
    • Conjugate priors for exponential families
    • Diaconis, P., and Ylvisaker, D. (1979), "Conjugate Priors for Exponential Families," The Annals of Statistics, 7, 269-281.
    • (1979) The Annals of Statistics , vol.7 , pp. 269-281
    • Diaconis, P.1    Ylvisaker, D.2
  • 7
    • 0442309445 scopus 로고    scopus 로고
    • Identiflability, improper priors, and Gibbs sampling for generalized linear models
    • Gelfand, A. E., and Sahu, S. K. (1999), "Identiflability, Improper Priors, and Gibbs Sampling for Generalized Linear Models," Journal of the American Statistical Association, 94, 247-253.
    • (1999) Journal of the American Statistical Association , vol.94 , pp. 247-253
    • Gelfand, A.E.1    Sahu, S.K.2
  • 9
    • 0030327881 scopus 로고    scopus 로고
    • The effect of improper priors on Gibbs sampling in hierarchical linear mixed models
    • Hobert, J. P., and Casella, G. (1996), 'The Effect of Improper Priors on Gibbs Sampling in Hierarchical Linear Mixed Models," Journal of the American Statistical Association, 91, 1461-1473.
    • (1996) Journal of the American Statistical Association , vol.91 , pp. 1461-1473
    • Hobert, J.P.1    Casella, G.2
  • 10
    • 0036016749 scopus 로고    scopus 로고
    • Bayesian methods for generalized linear models with covariates missing at random
    • Ibrahim, J. G., Chen, M.-H., and Lipsitz, S. R. (2002), "Bayesian Methods for Generalized Linear Models With Covariates Missing at Random," The Canadian Journal of Statistics, 30, 55-78.
    • (2002) The Canadian Journal of Statistics , vol.30 , pp. 55-78
    • Ibrahim, J.G.1    Chen, M.-H.2    Lipsitz, S.R.3
  • 11
    • 79960450252 scopus 로고
    • On Bayesian analysis of generalized linear models using Jeffreys's prior
    • Ibrahim, J. G., and Laud, P. W. (1991), "On Bayesian Analysis of Generalized Linear Models Using Jeffreys's Prior," Journal of the American Statistical Association, 86, 981-986.
    • (1991) Journal of the American Statistical Association , vol.86 , pp. 981-986
    • Ibrahim, J.G.1    Laud, P.W.2
  • 12
    • 0033474233 scopus 로고    scopus 로고
    • Missing covariates in generalized linear models when the missing data mechanism is nonignorable
    • Ibrahim, J. G., Lipsitz, S. R., and Chen, M.-H. (1999), "Missing Covariates in Generalized Linear Models When the Missing Data Mechanism Is Nonignorable," Journal of the Royal Statistical Society, Ser. B, 61, 173-190.
    • (1999) Journal of the Royal Statistical Society, Ser. B , vol.61 , pp. 173-190
    • Ibrahim, J.G.1    Lipsitz, S.R.2    Chen, M.-H.3
  • 13
    • 0030030347 scopus 로고    scopus 로고
    • Interferon alfa-2b adjuvant therapy of high-risk resected cutaneous melanoma: The eastern cooperative oncology group trial EST 1684
    • Kirkwood, J. M., Strawderman, M. H., Ernstoff, M. S., Smith, T. J., Borden, E. C., and Blum, R. H. (1996), "Interferon Alfa-2b Adjuvant Therapy of High-Risk Resected Cutaneous Melanoma: The Eastern Cooperative Oncology Group Trial EST 1684," Journal of Clinical Oncology, 14, 7-17.
    • (1996) Journal of Clinical Oncology , vol.14 , pp. 7-17
    • Kirkwood, J.M.1    Strawderman, M.H.2    Ernstoff, M.S.3    Smith, T.J.4    Borden, E.C.5    Blum, R.H.6
  • 15
    • 0001660344 scopus 로고
    • On the existence of the posterior distribution for a class of mixed models for binomial responses
    • Natarajan, R., and McCulloch, C. E. (1995), "On the Existence of the Posterior Distribution for a Class of Mixed Models for Binomial Responses," Biometrika, 82, 639-643.
    • (1995) Biometrika , vol.82 , pp. 639-643
    • Natarajan, R.1    McCulloch, C.E.2
  • 16
    • 0000950512 scopus 로고
    • On the existence of maximum likelihood estimates for the binomial response models
    • Silvapulle, M. J. (1981), "On the Existence of Maximum Likelihood Estimates for the Binomial Response Models," Journal of the Royal Statistical Society, Ser. B, 43, 310-313.
    • (1981) Journal of the Royal Statistical Society, Ser. B , vol.43 , pp. 310-313
    • Silvapulle, M.J.1
  • 18
    • 85041988327 scopus 로고
    • On the existence and uniqueness of the maximum likelihood estimates for certain generalized linear models
    • Wedderburn, R. W. M. (1976), "On the Existence and Uniqueness of the Maximum Likelihood Estimates for Certain Generalized Linear Models," Biometrika, 63, 27-32.
    • (1976) Biometrika , vol.63 , pp. 27-32
    • Wedderburn, R.W.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.