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Activity Number: 8
Type: Invited
Date/Time: Sunday, July 29, 2007 : 2:00 PM to 3:50 PM
Sponsor: International Indian Statistical Association
Abstract - #307809
Title: Generalized R-estimators Under Conditional Heteroscedasticity
Author(s): Kanchan Mukherjee*+
Companies: The University of Liverpool
Address: Department of Mathematical Sciences, Liverpool, L69 7ZL, United Kingdom
Keywords: R-estimation ; Autoregression ; ARCH model ; Heteroscedasticity
Abstract:

In this talk, we discuss a class of rank estimators of the parameters associated with the conditional mean function of an autoregressive model with heteroscedastic errors. The estimators are defined through a three-steps procedure. We discuss the role of these estimators in mis-specified models and their asymptotic distributions. The class of models includes Engel's ARCH model and the threshold heteroscedastic model. The class of estimators includes an extension of Wilcoxon-type rank estimator. Some simulation studies are presented.


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Revised September, 2007