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https://scholarbank.nus.edu.sg/handle/10635/105115
Title: | Empirical likelihood confidence intervals for local linear smoothers | Authors: | Chen, S.X.I. Qin, Y.S. |
Keywords: | Bartlett correction Confidence interval Coverage error Empirical likelihood Local linear smoother Nonparametric regression |
Issue Date: | 2000 | Citation: | Chen, S.X.I.,Qin, Y.S. (2000). Empirical likelihood confidence intervals for local linear smoothers. Biometrika 87 (4) : 946-953. ScholarBank@NUS Repository. | Abstract: | Empirical likelihood is considered in conjunction with the local linear smoother to construct confidence intervals for a nonparametric regression function with bounded support. The coverage error of the empirical likelihood confidence intervals is evaluated and is shown to be of the same order throughout the support of the regression function. This is a significant improvement over confidence intervals based directly on the asymptotic normal distribution of the local linear estimator, which have a larger order of coverage error near the boundary. This improvement is attributable to the natural variance estimator that empirical likelihood implicitly chooses for the local linear smoother. © 2000 Biometrika Trust. | Source Title: | Biometrika | URI: | http://scholarbank.nus.edu.sg/handle/10635/105115 | ISSN: | 00063444 |
Appears in Collections: | Staff Publications |
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