Acta Mathematicae Applicatae Sinica, English Series

, Volume 19, Issue 3, pp 387–396 | Cite as

Coverage Accuracy of Confidence Intervals in Nonparametric Regression

  • Song-xi Chen
  • Yong-song Qin
Original papers


Point-wise confidence intervals for a nonparametric regression function with random design points are considered. The confidence intervals are those based on the traditional normal approximation and the empirical likelihood. Their coverage accuracy is assessed by developing the Edgeworth expansions for the coverage probabilities. It is shown that the empirical likelihood confidence intervals are Bartlett correctable.


Confidence interval empirical likelihood Nadaraya-Watson estimator normal approximation 

2000 MR Subject Classification

62G05 62E20 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  1. 1.Department of Statistics and Applied ProbabilityNational University of SingaporeSingaporeSingapore
  2. 2.Department of MathematicsGuangxi Normal UniversityGuilinChina

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