| n维球内均匀分布的参数估计 |
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| 引用本文： | 王志祥.n维球内均匀分布的参数估计[J].纯粹数学与应用数学,2009,25(4):789-793. |
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| 作者姓名： | 王志祥 |
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| 作者单位： | 淮阴师范学院数学系,江苏,淮安,223300 |
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| 基金项目： | 江苏省高校自然科学基金 |
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| 摘 要： | 研究了n维球内均匀分布的参数的点估计与区间估计,利用次序统计量得到了球半径的最大似然估计,在此基础上构造了球半径的无偏估计,并且证明了该无偏估计的相合性.利用构造枢轴量的方法得到了球半径的最短置信区间.
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| 关 键 词： | 均匀分布 次序统计量 点估计 置信区间 |
Parameter estimation of n-dimensional uniform distribution in a spherical |
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| WANG Zhi-xiang.Parameter estimation of n-dimensional uniform distribution in a spherical[J].Pure and Applied Mathematics,2009,25(4):789-793. |
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| Authors: | WANG Zhi-xiang |
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| Institution: | WANG Zhi-xiang (Mathematics Department of Huaiyin Teacher's College,Huaian 223300,China) |
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| Abstract: | This paper studies the parameters' point estimation and interval estimation of n-dimensional uniform distribution in a spherical.Based on the order statistic,the radius' maximum likelihood estimation is obtained,further more,the consistency of the radius' maximum likelihood estimation is proved.On the other hand,the shortest confidence interval of the radius is also obtained by constructing a pivot. |
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| Keywords: | uniform distribution order statistic point estimation confidence interval |
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