删失数据下NA样本核密度估计的相合性

J4 ›› 2013, Vol. 48 ›› Issue (09): 40-45.

删失数据下NA样本核密度估计的相合性

叶彩园,吴群英*,伍欣叶

桂林理工大学理学院, 广西桂林 541006

收稿日期:2013-04-04 出版日期:2013-09-20 发布日期:2013-09-25
通讯作者: 吴群英(1961- ),女,博士,教授,研究方向为概率统计. Email:wqy666@glut.edu.cn
作者简介:叶彩园(1987- ),女,硕士,研究方向为极限理论. Email:602998545@qq.com
基金资助:
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)

Consistency NA samples kernel density estimation for censored data

YE Cai-yuan, WU Qun-ying*, WU Xin-ye

College of Science, Guilin University of Technology, Guilin 541006, Guangxi, China

Received:2013-04-04 Online:2013-09-20 Published:2013-09-25

摘要/Abstract

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。

关键词: 删失数据;NA样本;逐点强相合性;一致强相合

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.

Key words: censored date; NA samples; pointwise consistency; uniformly strong consistency

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]. J4, 2013, 48(09): 40-45.

YE Cai-yuan, WU Qun-ying*, WU Xin-ye. Consistency NA samples kernel density estimation for censored data[J]. J4, 2013, 48(09): 40-45.

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