文章基本信息

标题：Asymptotic Distributions of Error Density Estimators in First-order Autoregressive Models
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作者：Fuxia Cheng ; Illinois State University, Normal ; USA 等
期刊名称：Sankhya. Series A, mathematical statistics and probability
印刷版ISSN：0976-836X
电子版ISSN：0976-8378
出版年度：2005
卷号：67
期号：03
出版社：Indian Statistical Institute
摘要：This paper considers the asymptotic distributions of the error density estimators in first-order autoregressive models. At a fixed point, the distribution of the error density estimator is shown to be normal. Globally, the asymptotic distribution of the maximum of a suitably normalized deviation of the density estimator from the expectation of the kernel error density (based on the true error) is the same as in the case of the one sample set up, which is given in Bickel and Rosenblatt (1973).
关键词：AR(1) process, residuals, kernel density estimation