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Empirical Likelihood for Nonparametric Models Under Linear Process Errors
Authors:Yongsong Qin  Qingzhu Lei  Lijun Luo
Institution:1. Department of Mathematics, Zhejiang Normal University, , Zhejiang, 321004 China;2. Department of Mathematics, Guangxi Normal University, , Guangxi, 541004 China
Abstract:In this paper, we study the construction of confidence intervals for a nonparametric regression function under linear process errors by using the blockwise technique. It is shown that the blockwise empirical likelihood (EL) ratio statistic is asymptotically urn:x-wiley:13691473:media:anzs12022:anzs12022-math-0001 distributed. The result is used to obtain EL based confidence intervals for the nonparametric regression function. The finite‐sample performance of the method is evaluated through a simulation study.
Keywords:confidence interval  empirical likelihood  nonparametric regression  linear process
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