Two-step Estimation for Longitudinal Data When the Working Correlation Matrix is a Linear Combination of Some Known Matrices

被引：0
作者：
Yu-ling Li
Wei Gao
Man-Lai Tang
Shu-rong Zheng
机构：
[1] Northeast Normal University,Key Laboratory for Applied Statistics of MOE, School of Mathematics and Statistics
[2] Beijing Normal University,School of Applied Mathematics
[3] Hang Seng Management College,Department of Mathematics and Statistics
来源：
Acta Mathematicae Applicatae Sinica, English Series | 2019年 / 35卷
关键词：
generalized estimating equations; longitudinal data; quadratic inference functions; quasi-likelihood; two-step estimation; 6207;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The generalized estimating equations(GEE) approach is perhaps one of the most widely used methods for longitudinal data analysis. While the GEE method guarantees the consistency of its estimators under working correlation structure misspecification, the corresponding efficiency can be severely affected. In this paper, we propose a new two-step estimation method in which the correlation matrix is assumed to be a linear combination of some known working matrices. Asymptotic properties of the new estimators are developed. Simulation studies are conducted to examine the performance of the proposed estimators. We illustrate the methodology with an epileptic data set.
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页码：264 / 273
页数：9
相关论文
共 33 条
[1]  
Breslow NE(1993)Approximate inference in generalized linear mixed models Journal of the American Statistical Association 88 9-25
[2]  
Clayton DG(2008)Semiparametric estimation of covariance matrixes for longitudinal data Journal of the American Statistical Association 103 1520-1532
[3]  
Fan J(2010)Semiparametric mean-covariance regression analysis for longitudinal data Journal of the American Statistical Association 105 181-193
[4]  
Wu Y(2009)Efficient Parameter Estimation in Longitudinal Data Analysis Using a Hybrid Gee Method Biostatistics 10 436-445
[5]  
Leng C(1986)Longitudinal Data Analysis Using Generalized Linear Models Biometrika 73 13-22
[6]  
Zhang W(1983)Quasi-likelihood functions The Annals of Statistics 11 59-67
[7]  
Pan J(1972)Generalized linear models Journal of the Royal Statistical Society. Series A 135 370-384
[8]  
Leung HY(2000)Improving generalised estimating equations using quadratic inference functions Biometrika 87 823-836
[9]  
Denis D(1976)Inference and missing data (with discussion) Biometrika 63 581-592
[10]  
Wang M(2009)Quadratic inference functions in marginal models for longitudinal data Statistics in Medicine 28 3683-3696
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