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CONFIDENCE INTERVALS FOR NONPARAMETRIC REGRESSION FUNCTIONS WITH MISSING DATA： MULTIPLE DESIGN CASE
  • ISSN号：1009-6124
  • 期刊名称：《系统科学与复杂性学报：英文版》
  • 时间：0
  • 分类：O212.7[理学—概率论与数理统计;理学—数学] TB114.3[理学—概率论与数理统计;理学—数学;理学—应用数学;一般工业技术]
  • 作者机构：[1] School of Mathematical Sciences, Guangxi Normal University, Guilin 541004, China
  • 相关基金：This research is supported by he National Natural Science Foundation of China under Grant Nos. 10661003 and 10971038, and the Natural Science Foundation of Guangxi under Grant No. 2010GXNSFA013117.
作者： Qingzhu LEI Yongsong QIN
关键词： 近似置信区间, 非参数回归函数, 非参数回归模型, 设计, 加权估计, 渐近正态, 逆概率, Confidence interval, missing at random, nonparametric regression, normal approximation.
中文摘要：

这份报纸认为在 nonparametric 回归的 = g (x) 的二个评估者为 Y = g (x)+ 建模(x (0， 1 ) p ) 与失踪的回答：归罪和反的概率加权的评估者。二个评估者的 Asymptotic 规度被建立，它被用来构造正常近似基于的信心间隔在上。

英文摘要：

This paper considers two estimators of θ= g（x） in a nonparametric regression model Y = g（x） ＋ ε（x∈ （0, 1）p） with missing responses： Imputation and inverse probability weighted esti- mators. Asymptotic normality of the two estimators is established, which is used to construct normal approximation based confidence intervals on θ.

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期刊信息
  • 《系统科学与复杂性学报：英文版》
  • 主管单位:中国科学院
  • 主办单位:中国科学院系统科学研究所
  • 主编：
  • 地址：北京东黄城根北街16号
  • 邮编：100080
  • 邮箱：
  • 电话：010-62541831 62541834
  • 国际标准刊号：ISSN：1009-6124
  • 国内统一刊号：ISSN：11-4543/O1
  • 邮发代号:82-545
  • 获奖情况:
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,德国数学文摘,荷兰文摘与引文数据库,美国工程索引,美国科学引文索引（扩展库）,英国科学文摘数据库
  • 被引量:125