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ASYMPTOTIC PROPERTIES FOR L 1 NORM KERNEL ESTIMATOR OF CONDITIONAL MEDIAN UNDER DEPENDENCE 

Authors: Yong Zhou a; Hua Liang b
Affiliations:   a Institute of Applied Mathematics, Beijing 100080, China.
b Department of Statistics, Texas A & M University, College Station, TX 77843, USA.
DOI: 10.1080/1048525031000089293
Publication Frequency: 8 issues per year
Published in: journal Journal of Nonparametric Statistics, Volume 15, Issue 2 April 2003 , pages 205 - 219
Number of References: 17
Formats available: PDF (English)
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Abstract

This paper is concerned with asymptotic properties for L 1 -norm kernel estimator of conditional median for nonparametric regression models under the dependent case. The authors give the optimal convergence rates of the estimator for the case of agr-mixing and β-mixing samples on weak conditions.
Keywords: agr-mixing; β-mixing; Conditional Median; L 1-norm; Kernel Estimator
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