熵损失下定数Progressive删失情形Weibull分布尺度参数的估计  

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

作　　者：张颂[1] 王德辉[1] 

机构地区：[1]吉林大学数学学院,长春130012

出　　处：《吉林大学学报（理学版）》2012年第2期219-226,共8页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:10971081);高等学校博士学科点专项科研基金(批准号:20070183023)

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[cTα+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.Firstly,an explicit form of the minimum risk equivaria nt estimator of the scale parameter was obtained,and the admissibility of a cla ss of estimators of the form -1 was discussed.Then the es timation methods of the shape parameter were considered,further,the estimator of the scale parameter was proposed under entropy loss function based on progres sive Type-Ⅱ censoring scheme when both the parameters were unknown.

关 键 词：熵损失函数 WEIBULL分布 定数渐进删失 BAYES估计 可容许性 

分 类 号：O212.5[理学—概率论与数理统计]