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| Linex损失及PA样本下单边截断型分布族参数函数的EB估计 | |
| 引用本文： | 康会光,师义民,柴建,黄藏红. Linex损失及PA样本下单边截断型分布族参数函数的EB估计[J]. 纯粹数学与应用数学, 2008, 24(2) |
| 作者姓名： | 康会光 师义民 柴建 黄藏红 |
| 作者单位： | 安阳师范学院数学科学学院,河南,安阳,455000;西北工业大学应用数学系,陕西,西安,710072;西安交通大学管理学院,陕西,西安,710049;洛阳师范学院数学系,河南,洛阳,471022 |
| 基金项目： | 国家自然科学基金，陕西省教育厅资助项目，西北工业大学校科研和教改项目 |
| 摘 要： | 在Linex损失函数下,运用同分布PA样本密度函数的核估计方法,构造了一类单边截断型分布族参数函数的EB估计,并建立了它的收敛速度.在一定条件下,证明了这个收敛速度可充分接近1. |
| 关 键 词： | Linex损失 PA样本 EB估计 收敛速度 |
Empirical Bayes estimation for location parameter function of one side truncated family with Linex loss under PA samples |
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| KANG Hui-guang,SHI Yi-min,CHAI Jian,HUANG Zang-hong. Empirical Bayes estimation for location parameter function of one side truncated family with Linex loss under PA samples[J]. Pure and Applied Mathematics, 2008, 24(2) | |
| Authors: | KANG Hui-guang SHI Yi-min CHAI Jian HUANG Zang-hong |
| Affiliation: | KANG Hui-guang~1 SHI Yi-min~2 CHAI Jian~3 HUANG Zang-hong~4 1.School of Mathematical Science,Anyang Normal University,Anyang 455000,China,2.Department of Applied Mathematics,Northwestern Polytechnical University,Xi'an,710072,China 3.School of Management,Xi'an Jiaotong University,Xi'an 710049,4.Department of Mathematics,LuoYang Normal University,LuoYang 471022 |
| Abstract: | The EB estimation for parameter function of one-side truncated distribution is constructed by using the kernel estimation of probability density function under PA samples with Linex loss.Also,we obtain its convergence rate,and it is shown that the convergence rate can be arbitrarily close to 1 under certain conditions. |
| Keywords: | Linex loss PA samples EB estimation the convergence rate |
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