Title: The Consistency of Nonparametric Regression Model Based on AANA Errors
Abstract: In this paper,we investigate the consistency of unknown function g(·) for the nonparametric regression model based on AANA errors,where AANA sequence is weaker than NA sequence.Under some general conditions,by using Crinequality,Jensen inequality,the maximal inequality of AANA sequence and some properties of weighted functions,we obtain the p-mean convergence and uniform p-mean convergence for the estimator of g(·) of the nonparametric regression model,which generalize other corresponding results.
Publication Year: 2013
Publication Date: 2013-01-01
Language: en
Type: article
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