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This is the preliminary program for the 2007 Joint Statistical Meetings in Salt Lake City, Utah.

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Activity Number: 398
Type: Invited
Date/Time: Wednesday, August 1, 2007 : 10:30 AM to 12:20 PM
Sponsor: IMS
Abstract - #308180
Title: Conditional Quantile Estimation for GARCH Models
Author(s): Zhijie Xiao*+
Companies: Boston College
Address: Dept of Economics, Chestnut Hill, MA, 02467,
Keywords: Quantile Regression ; GARCH ; Nonlinear
Abstract:

The purpose of this paper is to propose a robust, flexible approach to estimating conditional quantiles in time series with GARCH structure. Conditional quantiles is an essential ingredient in various risk measures, and the GARCH process has proven to be highly successful in modeling financial return data. However, quantile regression estimation of GARCH models is highly nonlinear, and can not be directly estimated by traditional recursive methods. We propose two new methods of estimating quantiles of GARCH models. The first method is based on minimum-distance estimation from a first stage nonlinear quantile regression. The second method is based on a preliminary sieve quantile regression. Asymptotic properties of both methods are investigated.


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Revised September, 2007