SYMBOLIC COMPUTATION - A UNIFIED APPROACH TO STUDYING LIKELIHOOD

被引:7
作者
STAFFORD, JE
ANDREWS, DF
WANG, Y
机构
[1] WESTERN SCI CTR,DEPT STAT & ACTUANAL SCI,LONDON W6A 5B7,BC,CANADA
[2] UNIV TORONTO,DEPT STAT,TORONTO,ON M5S 1A1,CANADA
[3] HLTH & WELF CANADA,CTR ENVIRONM HLTH B,OTTAWA,ON K1A 0L2,CANADA
关键词
ASYMPTOTIC EXPANSIONS; BARTLETT IDENTITIES; EXPECTATION; LIKELIHOOD; SYMBOLIC COMPUTATION;
D O I
10.1007/BF00156746
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
We describe a set of procedures that automate many algebraic calculations common in statistical asymptotic theory. The procedures are very general and severe to unify the study of likelihood and likelihood type functions. The procedures emulate techniques one would normally carry out by hand; this strategy is emphasised throughout the paper. The purpose of the software is to provide a practical alternative to difficult manual algebraic computations. The result is a method that is quick and free of clerical error.
引用
收藏
页码:235 / 245
页数:11
相关论文
共 35 条
[1]  
ANDREWS DF, 1993, J ROY STAT SOC B MET, V55, P613
[2]  
ANDREWS DF, 1992, READING LAWLEY APPLI
[3]  
BARNDORFFNIELSE.O, 1989, ASYMPTOTIC TECHIQUES
[4]  
BARNDORFFNIELSE.OE, 1986, J R STATIST SOC B, V48, P351
[5]  
BARNDORFFNIELSE.OE, 1984, BIOMETRIKA, V70, P343
[6]   A NOTE ON THE DIFFERENCE BETWEEN PROFILE AND MODIFIED PROFILE LIKELIHOOD [J].
COX, DR ;
REID, N .
BIOMETRIKA, 1992, 79 (02) :408-411
[7]  
COX DR, 1987, J ROY STAT SOC B MET, V49, P1
[8]  
DAVENPORT JH, 1988, COMPUTER ALGEBRA SYS
[9]   BOOTSTRAP LIKELIHOODS [J].
DAVISON, AC ;
HINKLEY, DV ;
WORTON, BJ .
BIOMETRIKA, 1992, 79 (01) :113-130
[10]   EMPIRICAL LIKELIHOOD IS BARTLETT-CORRECTABLE [J].
DICICCIO, T ;
HALL, P ;
ROMANO, J .
ANNALS OF STATISTICS, 1991, 19 (02) :1053-1061