| 删失数据下NA样本核密度估计的相合性 |
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| 引用本文： | 叶彩园,吴群英,伍欣叶.删失数据下NA样本核密度估计的相合性[J].山东大学学报(理学版),2013,48(9):40-45. |
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| 作者姓名： | 叶彩园 吴群英 伍欣叶 |
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| 作者单位： | 桂林理工大学理学院, 广西 桂林 541006 |
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| 基金项目： | 国家自然科学基金资助项目(11061012); 广西高校人才小高地建设创新团队资助计划项目 (桂教人(2011)47号); 广西自然科学基金资助(2012GXNSFAA053010); 广西研究生教育创新计划项目(2011105960202M32) |
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| 摘 要： | 在｛Xn;n≥1｝和｛Yn;n≥1｝是相互独立的同分布NA随机变量序列的情形下,研究了随机删失数据下概率密度函数的核估计,获得了此核估计的逐点强相合性和一致强相合性。
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| 关 键 词： | 删失数据 NA样本 逐点强相合性 一致强相合 |
| 收稿时间： | 2013-04-04 |
Consistency NA samples kernel density estimation for censored data |
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| YE Cai-yuan,WU Qun-ying,WU Xin-ye.Consistency NA samples kernel density estimation for censored data[J].Journal of Shandong University,2013,48(9):40-45. |
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| Authors: | YE Cai-yuan WU Qun-ying WU Xin-ye |
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| Institution: | College of Science, Guilin University of Technology, Guilin 541006, Guangxi, China |
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| Abstract: | Under the case that ｛Xn;n≥1｝-and ｛Yn;n≥1｝ are sequence of NA random variables and independent of each other, the kernel estimation of the probability density function of random censored data were studied, and the point-by-point strong consistency and uniform strong consistency of the kernel estimation were obtained. |
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| Keywords: | censored date NA samples pointwise consistency uniformly strong consistency |
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