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Empilrical Likelihood for Non-parametric Regression Models with Missing Responses:Multiple Design Case 被引量:2

Empilrical Likelihood for Non-parametric Regression Models with Missing Responses:Multiple Design Case
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摘要 Empirical likelihood (EL) ratio statistic on θ=g(x) is constructed based on the inverse probability weighted imputation approach in a nonparametric regression model Y = g(x) +ε (x ∈ [0, 1]p) with fixed designs and missing responses, which asymptotically has X1^2 distribution. This result is used to obtain a EL based confidence interval on θ. Empirical likelihood (EL) ratio statistic on θ=g(x) is constructed based on the inverse probability weighted imputation approach in a nonparametric regression model Y = g(x) +ε (x ∈ [0, 1]p) with fixed designs and missing responses, which asymptotically has X1^2 distribution. This result is used to obtain a EL based confidence interval on θ.
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2011年第1期1-12,共12页 应用数学学报(英文版)
基金 Supported by the National Natural Science Foundation of China (No.10971038) the Natural Science Foundation of Guangxi (No.2010GXNSFA013117)
关键词 Nonparametric regression empirical likelihood missing at random confidence interval Nonparametric regression, empirical likelihood, missing at random, confidence interval
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