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CONFIDENCE INTERVALS FOR NONPARAMETRIC REGRESSION FUNCTIONS WITH MISSING DATA: MULTIPLE DESIGN CASE 被引量:2

CONFIDENCE INTERVALS FOR NONPARAMETRIC REGRESSION FUNCTIONS WITH MISSING DATA: MULTIPLE DESIGN CASE
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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.
出处 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2011年第6期1204-1217,共14页 系统科学与复杂性学报(英文版)
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.
关键词 Confidence interval missing at random nonparametric regression normal approximation. 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
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