The robustness of the quasilikelihood estimator

被引:9
作者
Lee, Y [1 ]
Nelder, JA [1 ]
机构
[1] Seoul Natl Univ, Dept Stat, Seoul, South Korea
来源
CANADIAN JOURNAL OF STATISTICS-REVUE CANADIENNE DE STATISTIQUE | 1999年 / 27卷 / 02期
关键词
generalized linear model; quasilikelihood; maximum likelihood; quadratic estimating functions; robustness;
D O I
10.2307/3315642
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
The quasilikelihood estimator is widely used in data analysis where a likelihood is not available. We illustrate that with a given variance function it is not only conservative, in minimizing a maximum risk, but also robust against a possible misspecification of either the likelihood or cumulants of the model. In examples it is compared with estimators based on maximum likelihood and quadratic estimating functions.
引用
收藏
页码:321 / 327
页数:7
相关论文
共 12 条
[1]   A COMPARISON BETWEEN MAXIMUM-LIKELIHOOD AND GENERALIZED LEAST-SQUARES IN A HETEROSCEDASTIC LINEAR-MODEL [J].
CARROLL, RJ ;
RUPPERT, D .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1982, 77 (380) :878-882
[2]  
CROWDER M, 1987, BIOMETRIKA, V74, P591, DOI 10.1093/biomet/74.3.591
[3]  
CROWDER M, 1986, ECONOMET THEOR, V3, P305
[4]  
FIRTH D, 1988, J ROY STAT SOC B MET, V50, P266
[5]   ON THE EFFICIENCY OF QUASI-LIKELIHOOD ESTIMATION [J].
FIRTH, D .
BIOMETRIKA, 1987, 74 (02) :233-245
[6]   AN EXTENSION OF QUASI-LIKELIHOOD ESTIMATION [J].
GODAMBE, VP ;
THOMPSON, ME .
JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 1989, 22 (02) :137-152
[7]   QUASI-LIKELIHOOD FUNCTIONS [J].
MCCULLAGH, P .
ANNALS OF STATISTICS, 1983, 11 (01) :59-67
[8]  
McCullagh P., 2019, Generalized Linear Models
[9]  
NELDER JA, 1992, J ROY STAT SOC B MET, V54, P273
[10]   AN EXTENDED QUASI-LIKELIHOOD FUNCTION [J].
NELDER, JA ;
PREGIBON, D .
BIOMETRIKA, 1987, 74 (02) :221-232