ON INVARIANCE AND MAXIMUM-LIKELIHOOD-ESTIMATION

被引:1
作者
PAL, N
BERRY, JC
机构
关键词
NUISANCE PARAMETER; ONE-TO-ONE FUNCTION; PARTIAL SUFFICIENCY; SPECIFIC SUFFICIENCY;
D O I
10.2307/2685216
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 invariance of maximum likelihood estimators to non-one-to-one parameter transformations is considered. Three approaches to maximum likelihood estimation are discussed, and it is shown that invariance depends on the approach adopted. A theorem is provided that gives sufficient conditions for invariance to hold under all three approaches.
引用
收藏
页码:209 / 212
页数:4
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