熵损失下定数Progressive删失情形Weibull分布尺度参数的估计

J4 ›› 2012, Vol. 50 ›› Issue (02): 219-226.

熵损失下定数Progressive删失情形Weibull分布尺度参数的估计

张颂, 王德辉

吉林大学数学学院, 长春 130012

收稿日期:2011-08-25 出版日期:2012-03-26 发布日期:2012-03-21
通讯作者: 王德辉 E-mail:wangdh@jlu.edu.cn

Estimation of Scale Parameter of Weibull Distribution under EntropyLoss Function Based on Progressive TypeⅡ Censoring Scheme

ZHANG Song, WANG Dehui

College of Mathematics, Jilin University, Changchun 130012, China

Received:2011-08-25 Online:2012-03-26 Published:2012-03-21
Contact: WANG Dehui E-mail:wangdh@jlu.edu.cn

摘要/Abstract

摘要：

在熵损失下得到了尺度参数的最小风险同变估计的精确形式, 并讨论了一类形如［cT_α+d］^-1的估计的容许性; 考虑形状参数的估计方法, 进一步给出了熵损失下定数渐进删失Weibull分布两参数都未知时尺度参数的估计.

关键词: 熵损失函数； Weibull分布；定数渐进删失； Bayes估计；可容许性

Abstract:

Firstly, an explicit form of the minimum risk equivariant estimator of the scale parameter was obtained, and the admissibility of a class of estimators of the form ［cT_α+d］^-1was discussed. Then the estimation methods of the shape parameter were considered, further, the estimator of the scale parameter was proposed under entropy loss function based on progressive TypeⅡ censoring scheme when both the parameters were unknown.

Key words: entropy loss function, Weibull distribution, progressive TypeⅡ censoring, Bayes estimator, admissibility

中图分类号:

O212.5

张颂, 王德辉. 熵损失下定数Progressive删失情形Weibull分布尺度参数的估计[J]. J4, 2012, 50(02): 219-226.

ZHANG Rong, WANG De-Hui. Estimation of Scale Parameter of Weibull Distribution under EntropyLoss Function Based on Progressive TypeⅡ Censoring Scheme[J]. J4, 2012, 50(02): 219-226.