Local power of three classic criteria in generalised linear models with unknown dispersion

被引:7
作者
Ferrari, SLP [1 ]
Botter, DA [1 ]
CribariNeto, F [1 ]
机构
[1] SO ILLINOIS UNIV,DEPT ECON,CARBONDALE,IL 62901
关键词
asymptotic expansion; chi-squared distribution; exponential family; generalised linear model; likelihood ratio test; Pitman alternative; score test; Wald test;
D O I
10.1093/biomet/84.2.482
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
In this paper we obtain asymptotic expansions for the nonnull distribution functions of the likelihood ratio, score and Wald test statistics in exponential family generalised linear models under Pitman alternatives assuming unknown dispersion, thus generalising some of the results in Cordeiro, Better & Ferrari (1994).
引用
收藏
页码:482 / 485
页数:4
相关论文
共 10 条
[1]  
BARNDORFFNEILSE.OE, 1994, INFERENCE ASYMPTOTIC
[2]   ON THE CORRECTIONS TO THE LIKELIHOOD RATIO STATISTICS [J].
CORDEIRO, GM .
BIOMETRIKA, 1987, 74 (02) :265-274
[3]  
CORDEIRO GM, 1991, J ROY STAT SOC B MET, V53, P629
[4]  
CORDEIRO GM, 1994, BIOMETRIKA, V81, P709
[5]   APPROXIMATIONS TO NONCENTRAL DISTRIBUTIONS [J].
COX, DR ;
REID, N .
CANADIAN JOURNAL OF STATISTICS-REVUE CANADIENNE DE STATISTIQUE, 1987, 15 (02) :105-114
[6]  
COX DR, 1987, J ROY STAT SOC B MET, V49, P1
[7]  
CRIBARINETO F, 1995, BIOMETRIKA, V82, P426
[8]  
DAVISON AC, 1988, J ROY STAT SOC B MET, V50, P445
[9]  
HARRIS P, 1980, BIOMETRIKA, V67, P525
[10]  
HAYAKAWA T, 1975, BIOMETRIKA, V62, P451, DOI 10.2307/2335387