| 在区间截断的情况下,两点分布估计及其收敛速度 |
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| 引用本文： | 丁邦俊,郑祖康.在区间截断的情况下,两点分布估计及其收敛速度[J].应用概率统计,2007,23(3):292-302. |
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| 作者姓名： | 丁邦俊 郑祖康 |
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| 作者单位： | 1. 华东师范大学统计系,上海,200062
2. 复旦大学管理学院,上海,200433 |
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| 摘 要： | 假设总体$X$服从两点均匀分布, 即$\pr(X=x_1)=\pr(X=x_2)=1/2$, 但是随机变量$X$的取值$x_1$和$x_2$是未知的\bd 在区间截断的情况下, 利用样本获得了$x_1$和$x_2$估计量$\wh{x}_1$和$\wh{x}_2$, 并给出了估计量$\wh{x}_1$和$\wh{x}_2$的收敛速度$o(n^{-1/3+\xs})$.
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| 关 键 词： | 区间数据 随机逼近 收敛速度 |
| 收稿时间： | 2004-12-27 |
| 修稿时间： | 2006-01-10 |
The Rates of Convergence of the Estimation of Two-Point Distribution with Interval Censored Data |
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| DING BANGJUN,ZHENG ZUKANG.The Rates of Convergence of the Estimation of Two-Point Distribution with Interval Censored Data[J].Chinese Journal of Applied Probability and Statisties,2007,23(3):292-302. |
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| Authors: | DING BANGJUN ZHENG ZUKANG |
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| Institution: | 1.Department of Statistics, East China Normal University, Shanghai, 200062;2.School of Management, Fudan University, Shanghai, 200433 |
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| Abstract: | Let random variable X be two-point distribution, in which the value both xl and x2 are unknown, in this paper, we proposal a procedure to obtain the estimation of x1 and x2, and obtain the rates of convergence of estimators. |
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