JSM 2011 Online Program

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Abstract Details

Activity Number: 411
Type: Contributed
Date/Time: Tuesday, August 2, 2011 : 2:00 PM to 3:50 PM
Sponsor: Section on Nonparametric Statistics
Abstract - #300623
Title: Nonparametric Quantile Regression with Heavy-Tailed and Strongly Dependent Errors
Author(s): Toshio Honda*+
Companies: Hitotsubashi University
Address: Graduate School of Economics, Hitotsubashi Univ., Kunitachi, Tokyo, 186-8601, JAPAN
Keywords: conditional quantile ; random design ; long-rande dependence ; stable distribution ; martingale CLT ; linear process
Abstract:

We consider nonparametric estimation of the conditional q-th quantile for stationary time series. We deal with stationary time series with strong time dependence and heavy tails under the setting of random design. We estimate the conditional q-th quantile by local linear regression and investigate the asymptotic properties. It is shown that the asymptotic properties are affected by both the time dependence and the tail index of the errors. The results of a small simulation study are also given.


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