Estimation using penalized quasilikelihood and quasi-pseudo-likelihood in Poisson mixed models

Lifetime Data Analysis

Volumn 13, Issue 4, 2007, Pages 533-544

  Lin, Xihong ^a  

^a HARVARD SCHOOL OF PUBLIC HEALTH   (United States)

Author keywords

Asymptotic bias; Estimating equations; Generalized linear mixed models; Laplace expansion; Overdispersion; Variance components

Indexed keywords

ARTICLE; COMPARATIVE STUDY; COMPUTER SIMULATION; HUMAN; POISSON DISTRIBUTION; STATISTICAL MODEL;

COMPUTER SIMULATION; HUMANS; LIKELIHOOD FUNCTIONS; MODELS, STATISTICAL; POISSON DISTRIBUTION;

EID: 37649024707     PISSN: 13807870     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10985-007-9071-z     Document Type: Article

References (22)

1. Breslow NE (1984). Extra-Poisson variation in log-linear models. Appl Statist 33: 38-44
2. Breslow NE (1990). Tests of hypotheses in overdispersed Poisson regression and other quasi-likelihood models. J Amer Statist Assoc 85: 565-571
3. Breslow NE and Clayton DG (1993). Approximate inference in generalized linear mixed models. J Amer Statist Assoc 88: 9-25
4. Breslow NE and Lin X (1995). Bias correction in generalized linear mixed models with a single component of dispersion. Biometrika 82: 81-91
5. Davidian M and Carroll RJ (1987). Variance function estimation. J Amer Statist Assoc 82: 1079-1091
6. Green PJ (1987). Penalized likelihood for general semi-parametric regression models. Int Statist Rev 55: 245-259
7. Gumpertz ML and Pantula SG (1992). Nonlinear regression with variance components. J Amer Statist Assoc 87: 201-209
8. Heagerty PJ and Lele SR (1998). A composite likelihood approach to binary spatial data. J Amer Statist Assoc 93: 1099-1111
9. Hinde J (1982) Compound Poisson regression models. In: Gilchrist Berline R (ed) GLIM 82: Proceedings of the International Conference on Generalised Linear Models. Springer-Verlag, pp 109-121
10. Lawless JF (1987). Negative binomial and mixed Poisson regression. Can J Statist 15: 209-225
11. Lin X and Breslow NE (1996). Bias correction in generalized linear mixed models with multiple components of dispersion. J Amer Statist Assoc 91: 1007-1016
12. Liu Q and Pierce DA (1993). Heterogeneity in Mantel-Haenszel-type models. Biometrika 80: 543-556
13. McCullagh P and Nelder JA (1989). Generalized linear models, 2nd ed. Chapman and Hall, London
14. Miller JJ (1977). Asymptotic properties of maximum likelihood estimates in the mixed model of the analysis of variance. Ann Statist 5: 746-762
15. Morton R (1987). A generalized linear model with nested strata of extra-Poisson variation. Biometrika 74: 247-257
16. Nelder JA and Lee Y (1992). Likelihood, quasi-likelihood and pseudolikelihood: some comparisons. J R Statist Soc B 50: 266-268
17. Prentice RL and Zhao LP (1991). Estimating equations for parameters in means and covariances of multivariate discrete and continuous responses. Biometrics 47: 825-839
18. Schall R (1991). Estimation in generalized linear models with random effects. Biometrika 40: 917-927
19. Solomon PJ and Cox DR (1992). Nonlinear components of variance models. Biometrika 79: 1-11
20. Stiratelli R, Laird N and Ware J (1984). Random effect models for serial observations with binary response. Biometrics 40: 961-971
21. Thall PF and Vail SC (1990). Some covariance models for longitudinal count data with overdispersion. Biometrics 46: 657-671
22. Zeger SL, Liang KY and Albert PS (1988). Models for longitudinal data: a generalized estimating equation approach. Biometrics 44: 1049-1060