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熵损失下定数Progressive删失情形Weibull分布尺度参数的估计 被引量:3

Estimation of Scale Parameter of Weibull Distribution under Entropy Loss Function Based on Progressive Type-Ⅱ Censoring Scheme
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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.
作者 张颂 王德辉
出处 《吉林大学学报(理学版)》 CAS CSCD 北大核心 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)
关键词 熵损失函数 WEIBULL分布 定数渐进删失 BAYES估计 可容许性 entropy loss function Weibull distribution progress ive Type-Ⅱ censoring Bayes estimator admissibility
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