| 逆瑞利分布的有效估计 |
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| 引用本文： | 逆瑞利分布的有效估计.逆瑞利分布的有效估计[J].山东科学,2017,30(5):86-90. |
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| 作者姓名： | 逆瑞利分布的有效估计 |
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| 作者单位： | 1.山西师范大学数学与计算机科学学院, 山西 临汾 041000；2.四川大学数学学院，四川 成都 610065 |
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| 基金项目： | 山西省自然科学基金 (2013011002-1) |
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| 摘 要： | 推导逆瑞利分布的密度函数和分布函数的MLE和UMVUE,并给出估计量r阶矩的精确表达式。对估计量的均方误差和变异系数做渐进展开,在大样本下给出逆瑞利分布有效估计的判断条件。
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| 关 键 词： | 逆瑞利分布 MLE 密度函数 分布函数 UMVUE |
| 收稿时间： | 2016-06-20 |
An efficient estimation of the inverse Rayleigh distribution |
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| LU Jian-ping,SHI Jie-ru,HAO Bo.An efficient estimation of the inverse Rayleigh distribution[J].Shandong Science,2017,30(5):86-90. |
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| Authors: | LU Jian-ping SHI Jie-ru HAO Bo |
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| Institution: | 1. School of Mathematics &Computer Science, Shanxi Normal University, Linfen 041000, China;2. School of Mathematics, Sichuan University, Chengdu 610065, China |
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| Abstract: | The MLE and UMVUE of the density function and distribution function were derived for the inverse Rayleigh distribution, and the explicit expressions of the r th moment of these estimators were given. The mean square error and variation coefficient of the estimators were asymptotically expanded. Finally, the judgement for the effective estimation of the inverse Rayleigh distribution was given in the large sample. |
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| Keywords: | inverse Rayleigh distribution distribution function MLE density function UMVUE |
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