메뉴 건너뛰기




Volumn 27, Issue 16, 2008, Pages 3105-3124

A likelihood reformulation method in non-normal random effects models

Author keywords

Gamma frailty model; Gaussian copula; Generalized linear mixed model; Heterogeneity model; Logistic distribution

Indexed keywords

ARTICLE; COMPUTER SIMULATION; CONTROLLED STUDY; CORRELATION ANALYSIS; DATA ANALYSIS SOFTWARE; DIABETIC RETINOPATHY; GAMMA DENSITY; HUMAN; INFERENTIAL STATISTICS; LASER COAGULATION; MAJOR CLINICAL STUDY; MATHEMATICAL COMPUTING; MAXIMUM LIKELIHOOD METHOD; MIXTURE DENSITY; PROBABILITY; RANDOMIZATION; STANDARD NORMAL DENSITY; STATISTICAL MODEL; STATISTICAL PARAMETERS; STATISTICAL SIGNIFICANCE; VISUAL IMPAIRMENT;

EID: 48049093037     PISSN: 02776715     EISSN: 10970258     Source Type: Journal    
DOI: 10.1002/sim.3153     Document Type: Article
Times cited : (63)

References (34)
  • 5
    • 0031555662 scopus 로고    scopus 로고
    • The effect of misspecifying the random-effects distribution in linear mixed models for longitudinal data
    • Verbeke G, Lesaffre E. The effect of misspecifying the random-effects distribution in linear mixed models for longitudinal data. Computational Statistics and Data Analysis 1997; 23:541-556.
    • (1997) Computational Statistics and Data Analysis , vol.23 , pp. 541-556
    • Verbeke, G.1    Lesaffre, E.2
  • 6
    • 0034862723 scopus 로고    scopus 로고
    • Linear mixed models with flexible distributions of random effects for longitudinal data
    • Zhang D, Davidian M. Linear mixed models with flexible distributions of random effects for longitudinal data. Biometrics 2001; 57:795-802.
    • (2001) Biometrics , vol.57 , pp. 795-802
    • Zhang, D.1    Davidian, M.2
  • 9
    • 0000569928 scopus 로고    scopus 로고
    • A linear mixed-effects model with heterogeneity in the random-effects population
    • Verbeke G, Lesaffre E. A linear mixed-effects model with heterogeneity in the random-effects population. Journal of the American Statistical Association 1996; 91:217-221.
    • (1996) Journal of the American Statistical Association , vol.91 , pp. 217-221
    • Verbeke, G.1    Lesaffre, E.2
  • 10
    • 0035632583 scopus 로고    scopus 로고
    • Efficient algorithms for robust estimation in linear mixed-effects models using the multivariate t distribution
    • Pinheiro JC, Liu C, Wu YN. Efficient algorithms for robust estimation in linear mixed-effects models using the multivariate t distribution. Journal of Computational and Graphical Statistics 2001; 10:249-276.
    • (2001) Journal of Computational and Graphical Statistics , vol.10 , pp. 249-276
    • Pinheiro, J.C.1    Liu, C.2    Wu, Y.N.3
  • 14
    • 47249130467 scopus 로고    scopus 로고
    • The use of Gaussian quadrature for estimation in frailty proportional hazards models
    • DOI: 10.1002/sim.3077
    • Liu L, Huang X. The use of Gaussian quadrature for estimation in frailty proportional hazards models. Statistics in Medicine 2007; DOI: 10.1002/sim.3077.
    • (2007) Statistics in Medicine
    • Liu, L.1    Huang, X.2
  • 15
    • 4444337742 scopus 로고    scopus 로고
    • Shared frailty models for recurrent events and a terminal event
    • Liu L, Wolfe RA, Huang X. Shared frailty models for recurrent events and a terminal event. Biometrics 2004; 60:747-756.
    • (2004) Biometrics , vol.60 , pp. 747-756
    • Liu, L.1    Wolfe, R.A.2    Huang, X.3
  • 17
  • 18
    • 0035648391 scopus 로고    scopus 로고
    • On the effect of the number of quadrature points in a logistic random-effects model: An example
    • Lesaffre E, Spiessens B. On the effect of the number of quadrature points in a logistic random-effects model: an example. Applied Statistics 2001; 50:325-335.
    • (2001) Applied Statistics , vol.50 , pp. 325-335
    • Lesaffre, E.1    Spiessens, B.2
  • 19
    • 0032969449 scopus 로고    scopus 로고
    • Finite mixture modeling with mixture outcomes using the EM algorithm
    • Muthén B, Shedden K. Finite mixture modeling with mixture outcomes using the EM algorithm. Biometrics 1999; 55:463-469.
    • (1999) Biometrics , vol.55 , pp. 463-469
    • Muthén, B.1    Shedden, K.2
  • 22
    • 0017883262 scopus 로고
    • A model for association in bivariate life tables and its application in epidemiological studies of familial tendency in chronic disease incidence
    • Clayton DG. A model for association in bivariate life tables and its application in epidemiological studies of familial tendency in chronic disease incidence. Biometrika 1978; 65:141-152.
    • (1978) Biometrika , vol.65 , pp. 141-152
    • Clayton, D.G.1
  • 23
    • 84953078660 scopus 로고
    • The joy of copulas: Bivariate distributions with uniform marginals
    • Genest C, MacKey J. The joy of copulas: bivariate distributions with uniform marginals. The American Statistician 1986; 40:280-283.
    • (1986) The American Statistician , vol.40 , pp. 280-283
    • Genest, C.1    MacKey, J.2
  • 24
    • 48049121643 scopus 로고    scopus 로고
    • Available from
    • Yan J. The Copula Package, 2007. Available from http://cran.r-project.org/src/contrib/Descriptions/copula.html.
    • (2007) The Copula Package
    • Yan, J.1
  • 25
    • 85153279767 scopus 로고    scopus 로고
    • Stram DO, Lee JW. Variance components testing in the longitudinal mixed effects model. Biometrics 1994; 50: 1171-1177. Correction: 51, 1196.
    • Stram DO, Lee JW. Variance components testing in the longitudinal mixed effects model. Biometrics 1994; 50: 1171-1177. Correction: 51, 1196.
  • 26
    • 0024506470 scopus 로고
    • Modeling paired survival data with covariate
    • Huster WJ, Brookmeyer R, Self SG. Modeling paired survival data with covariate. Biometrics 1989; 45:145-156.
    • (1989) Biometrics , vol.45 , pp. 145-156
    • Huster, W.J.1    Brookmeyer, R.2    Self, S.G.3
  • 27
    • 48049114687 scopus 로고    scopus 로고
    • Horowitz JL. Discussion of 'Maximum likelihood estimation in semiparametric regression models with censored data', by Zeng D and Lin DY. Journal of the Royal Statistical Society, Series B 2007; 69:550-551.
    • Horowitz JL. Discussion of 'Maximum likelihood estimation in semiparametric regression models with censored data', by Zeng D and Lin DY. Journal of the Royal Statistical Society, Series B 2007; 69:550-551.
  • 28
    • 0000447977 scopus 로고
    • The nonlinear mixed effects model with a smooth random effects density
    • Davidian M, Gallant AR. The nonlinear mixed effects model with a smooth random effects density. Biometrika 1993; 80:478-488.
    • (1993) Biometrika , vol.80 , pp. 478-488
    • Davidian, M.1    Gallant, A.R.2
  • 30
    • 33645565987 scopus 로고    scopus 로고
    • Efficient Laplacian and adaptive Gaussian quadrature algorithms for multilevel generalized linear mixed models
    • Pinheiro JC, Chao EC. Efficient Laplacian and adaptive Gaussian quadrature algorithms for multilevel generalized linear mixed models. Journal of Computational and Graphical Statistics 2006; 15:58-81.
    • (2006) Journal of Computational and Graphical Statistics , vol.15 , pp. 58-81
    • Pinheiro, J.C.1    Chao, E.C.2
  • 32
    • 0001303107 scopus 로고
    • A note on Gauss-Hermite quadrature
    • Liu Q, Pierce DA. A note on Gauss-Hermite quadrature. Biometrika 1994; 81:624-629.
    • (1994) Biometrika , vol.81 , pp. 624-629
    • Liu, Q.1    Pierce, D.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.