ON THE ADMISSIBILITY AND INADMISSIBILITY OF ESTIMATORS OF SCALE-PARAMETERS USING AN ASYMMETRIC LOSS FUNCTION

被引:18
作者
PARSIAN, A [1 ]
FARSIPOUR, NS [1 ]
机构
[1] SHIRAZ UNIV,DEPT STAT,SHIRAZ 71454,IRAN
关键词
ADMISSIBILITY; ASYMMETRIC LOSS FUNCTION; BAYES ESTIMATOR; BEST SCALE-INVARIANT ESTIMATOR; INADMISSIBILITY; LINEAR ESTIMATOR; SCALE PARAMETER;
D O I
10.1080/03610929308831191
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
Estimation of the scale parameter in the Exponential and Normal families using asymmetric modified LINEX loss function are considered. The best scale-invariant estimators of the parameters of interest are obtained and their admissibility conjectured in the absence of a nuisance parameter. The admissibility and inadmissibility of the linear functions of the form cY+d, where Y approximately lambdaGAMMA (n, 1), are studied.
引用
收藏
页码:2877 / 2901
页数:25
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