| 可信性理论中的极大似然估计（英文） |
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| 引用本文： | 刘吉彩,刘焕彬.可信性理论中的极大似然估计（英文）[J].黄冈师范学院学报,2010,30(3):8-13. |
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| 作者姓名： | 刘吉彩 刘焕彬 |
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| 作者单位： | 1. 上海师范大学数理学院,上海,200234
2. 黄冈师范学院,湖北黄州,438000 |
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| 基金项目： | supported by the Natural Science Foundation of Hubei(Grant No.08BA164); the Major Research Program of Hubei Provincial Department of Education(Grant No.09B2001) |
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| 摘 要： | 本文基于模糊变量的可信性分布,提出了模糊极大似然估计的概念,证明了模糊极大似然估计的不变性及其收敛性。
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| 关 键 词： | 可信性测度 模糊变量 最大原理 极大极然估计 |
Maximum likelihood estimator in credibility theroy |
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| LIU Ji-cai,LIU Huan-bin.Maximum likelihood estimator in credibility theroy[J].Journal of Huanggang Normal University,2010,30(3):8-13. |
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| Authors: | LIU Ji-cai LIU Huan-bin |
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| Institution: | LIU Ji-cai~1 LIU Huan-bin~2 (1.College of Mathematics and Science,Shanghai Normal University,Shanghai 200234,China,2.College of Mathematics and Information Science,Huanggang Normal University,Huangzhou 438000,Hubei,China) |
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| Abstract: | This paper proposes a new concept of fuzzy maximum likelihood estimator based on credibility distribution of fuzzy variables. The invariance properties of fuzzy maximum likelihood estimator are investigated. Convergences under some given conditions are studied. |
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| Keywords: | credibility measure fuzzy variable maximum principle maximum likelihood estimator |
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