| 熵损失下定数Progressive删失情形Weibull分布尺度参数的估计 |
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| 引用本文： | 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].吉林大学学报(理学版),2012,50(2):219-226. |
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| 作者姓名： | 张颂 王德辉 |
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| 作者单位： | 吉林大学 数学学院, 长春 130012 |
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| 基金项目： | 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) |
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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.
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| 关 键 词： | 熵损失函数 Weibull分布 定数渐进删失 Bayes估计 可容许性 |
| 收稿时间： | 2011-08-25 |
Estimation of Scale Parameter of Weibull Distribution under Entropy Loss Function Based on Progressive Type-Ⅱ Censoring Scheme |
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| ZHANG Song,WANG De-hui.Estimation of Scale Parameter of Weibull Distribution under Entropy Loss Function Based on Progressive Type-Ⅱ Censoring Scheme[J].Journal of Jilin University: Sci Ed,2012,50(2):219-226. |
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| Authors: | ZHANG Song WANG De-hui |
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| Institution: | College of Mathematics, Jilin University, Changchun 130012, China |
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| Abstract: | 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. |
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| Keywords: | entropy loss function Weibull distribution progress ive Type-Ⅱ censoring Bayes estimator admissibility |
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