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Volumn 12, Issue 2, 2002, Pages 163-174

A general maximum likelihood analysis of measurement error in generalized linear models

Author keywords

EM algorithm; Gaussian quadrature; Measurement error; Mixture model; Nonparametric maximum likelihood; Random effects GLM

Indexed keywords


EID: 0141791136     PISSN: 09603174     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1014838703623     Document Type: Article
Times cited : (30)

References (24)
  • 1
    • 21444433315 scopus 로고    scopus 로고
    • A general maximum likelihood analysis of overdispersion in generalized linear models
    • Aitkin M. 1996. A general maximum likelihood analysis of overdispersion in generalized linear models. Statistics and Computing 6: 251-262.
    • (1996) Statistics and Computing , vol.6 , pp. 251-262
    • Aitkin, M.1
  • 3
    • 0002140737 scopus 로고
    • Fitting overdispersed generalized linear models by nonparametric maximum likelihood
    • Aitkin M. and Francis B.J. 1995. Fitting overdispersed generalized linear models by nonparametric maximum likelihood. The GLIM Newsletter 25: 37-45.
    • (1995) The GLIM Newsletter , vol.25 , pp. 37-45
    • Aitkin, M.1    Francis, B.J.2
  • 5
    • 0001506817 scopus 로고
    • Approximate quasilikelihood estimation in models with surrogate predictors
    • Carroll R.J. and Stefanski L.A. 1990. Approximate quasilikelihood estimation in models with surrogate predictors. J. Amer. Statist. Assoc. 85:652-663.
    • (1990) J. Amer. Statist. Assoc. , vol.85 , pp. 652-663
    • Carroll, R.J.1    Stefanski, L.A.2
  • 6
    • 0007338373 scopus 로고
    • Mass point methods for dealing with nuisance parameters in longitudinal studies
    • R. Crouchley, (Ed.). Avebury, Aldershot, Hants
    • Davies R.B. 1987. Mass point methods for dealing with nuisance parameters in longitudinal studies. In: R. Crouchley, (Ed.), Longitudinal Data Analysis. Avebury, Aldershot, Hants.
    • (1987) Longitudinal Data Analysis
    • Davies, R.B.1
  • 7
    • 0002629270 scopus 로고
    • Maximum likelihood estimation from incomplete data via the EM algorithm (with discussion)
    • Dempster A.P., Laird N.M., and Rubin D.A. 1977. Maximum likelihood estimation from incomplete data via the EM algorithm (with discussion). J. Roy. Statist. Soc. B 39: 1-38.
    • (1977) J. Roy. Statist. Soc. B , vol.39 , pp. 1-38
    • Dempster, A.P.1    Laird, N.M.2    Rubin, D.A.3
  • 9
    • 0043280953 scopus 로고
    • Improvements of the naive approach to estimation in nonlinear errors-in-variables regression models
    • P.J. Brown and W.A. Fuller (Eds.), American Mathematics Society, Providence
    • Gleser L.J. 1990. Improvements of the naive approach to estimation in nonlinear errors-in-variables regression models. In: P.J. Brown and W.A. Fuller (Eds.), Statistical Anaysis of Measurement Error Models and Application, American Mathematics Society, Providence.
    • (1990) Statistical Anaysis of Measurement Error Models and Application
    • Gleser, L.J.1
  • 10
    • 0013270558 scopus 로고    scopus 로고
    • Approximate likelihoods for generalized errors-in-variables models
    • Hanfelt J.J. and Liang K.-Y. 1997. Approximate likelihoods for generalized errors-in-variables models. J. Roy. Statist. Soc. B 59: 627-637.
    • (1997) J. Roy. Statist. Soc. B , vol.59 , pp. 627-637
    • Hanfelt, J.J.1    Liang, K.-Y.2
  • 11
    • 0000159540 scopus 로고
    • A method for minimizing the impact of distributional assumptions in econometric models of duration
    • Heckman J.J and Singer B. 1984. A method for minimizing the impact of distributional assumptions in econometric models of duration. Econometrica 52: 271-320.
    • (1984) Econometrica , vol.52 , pp. 271-320
    • Heckman, J.J.1    Singer, B.2
  • 12
    • 0001058763 scopus 로고
    • R. Gilchrist, (Ed.), GLIM 82, Springer-Verlag, New York
    • Hinde J.P. 1982. Compound Poisson regression models. In: R. Gilchrist, (Ed.), GLIM 82, Springer-Verlag, New York.
    • (1982) Compound Poisson Regression Models
    • Hinde, J.P.1
  • 13
    • 0041512865 scopus 로고
    • Binomial variance component models with a non-parametric assumption concerning random effects
    • R. Crouchley (Ed.). Avebury, Aldershot, Hants
    • Hinde J.P. and Wood A.T.A. 1987. Binomial variance component models with a non-parametric assumption concerning random effects. In: R. Crouchley (Ed.), Longitudinal Data Analysis. Avebury, Aldershot, Hants.
    • (1987) Longitudinal Data Analysis
    • Hinde, J.P.1    Wood, A.T.A.2
  • 14
    • 0000284439 scopus 로고
    • Consistency of the maximum likelihood estimator in the presence of infinitely many nuisance parameters
    • Kiefer J. and Wolfowitz J. 1956. Consistency of the maximum likelihood estimator in the presence of infinitely many nuisance parameters. Ann. Math. Statist. 27: 887-906.
    • (1956) Ann. Math. Statist. , vol.27 , pp. 887-906
    • Kiefer, J.1    Wolfowitz, J.2
  • 15
    • 84936016001 scopus 로고
    • Nonparametric maximum likelihood estimation of a mixing distribution
    • Laird N.M. 1978. Nonparametric maximum likelihood estimation of a mixing distribution. J. Amer. Statist. Assoc. 73: 805-811.
    • (1978) J. Amer. Statist. Assoc. , vol.73 , pp. 805-811
    • Laird, N.M.1
  • 16
    • 0002630018 scopus 로고
    • An algorithm for computing the nonparametric MLE of a mixing distribution
    • Lesperance M.L. and Kalbfleisch J.D. 1992. An algorithm for computing the nonparametric MLE of a mixing distribution. J. Amer. Statist. Assoc. 87: 120-126.
    • (1992) J. Amer. Statist. Assoc. , vol.87 , pp. 120-126
    • Lesperance, M.L.1    Kalbfleisch, J.D.2
  • 17
    • 0000525359 scopus 로고
    • The geometry of mixture likelihoods, part I: A general theory
    • Lindsay B.G. 1983. The geometry of mixture likelihoods, part I: A general theory. Ann. Statist. 11: 86-94.
    • (1983) Ann. Statist. , vol.11 , pp. 86-94
    • Lindsay, B.G.1
  • 18
    • 0023570352 scopus 로고
    • On bootstrapping the likelihood ratio test statistic for the number of components in a normal mixture
    • McLachlan G.J. 1987. On bootstrapping the likelihood ratio test statistic for the number of components in a normal mixture. Applied Statistics 36: 318-324.
    • (1987) Applied Statistics , vol.36 , pp. 318-324
    • McLachlan, G.J.1
  • 19
    • 0030329265 scopus 로고    scopus 로고
    • A smooth nonparametric estimate of a mixing distribution using mixtures of Gaussians
    • Magder L.S. and Zeger S.L. 1996. A smooth nonparametric estimate of a mixing distribution using mixtures of Gaussians. J. Amer. Statist. Assoc. 91: 1141-1151.
    • (1996) J. Amer. Statist. Assoc. , vol.91 , pp. 1141-1151
    • Magder, L.S.1    Zeger, S.L.2
  • 21
    • 78751705696 scopus 로고
    • Corrected score functions for errors-in-variables models: Methodology and application to generalized linear models
    • Nakamura T. 1990. Corrected score functions for errors-in-variables models: Methodology and application to generalized linear models. Biometrika 77: 127-137.
    • (1990) Biometrika , vol.77 , pp. 127-137
    • Nakamura, T.1
  • 22
    • 0000255342 scopus 로고
    • Identifiability of a linear relation between variables which are subject to error
    • Reiersøl O. 1950. Identifiability of a linear relation between variables which are subject to error. Econometrica 18: 385-389.
    • (1950) Econometrica , vol.18 , pp. 385-389
    • Reiersøl, O.1
  • 23
    • 0030557659 scopus 로고    scopus 로고
    • A semiparametric mixture approach to case-control studies with errors in covariables
    • Roeder K., Carroll R.J., and Lindsay B.G. 1996. A semiparametric mixture approach to case-control studies with errors in covariables. J. Amer. Statist. Assoc. 91: 722-732.
    • (1996) J. Amer. Statist. Assoc. , vol.91 , pp. 722-732
    • Roeder, K.1    Carroll, R.J.2    Lindsay, B.G.3
  • 24
    • 0001581094 scopus 로고
    • Covariate measurement error in generalized linear models
    • Schafer D.W. 1987. Covariate measurement error in generalized linear models. Biometrika 74: 385-391.
    • (1987) Biometrika , vol.74 , pp. 385-391
    • Schafer, D.W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.