JSM 2011 Online Program

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Abstract Details

Activity Number: 77
Type: Contributed
Date/Time: Sunday, July 31, 2011 : 4:00 PM to 5:50 PM
Sponsor: Section on Nonparametric Statistics
Abstract - #301554
Title: Test for Discontinuity in Variance Function Under Nonparametric Heteroscedastic Regression Model
Author(s): Kee-Hoon Kang*+
Companies: Hankuk University of Foreign Studies
Address: Mohyun, Wangsan, Yongin, International, 449-791, KOREA
Keywords: change point ; jump size ; bootstrap
Abstract:

In this paper we consider the nonparametric test for the existence of discontinuity in variance function under nonparametric heteroscedastic random design regression model. We first propose the test statistics by considering estimators of the change point and the jump size in the variance function. Asymptotic distribution of the proposed test statistics is derived. Simulation studies are carried out to investigate the practical performance of the proposed method. We examine the power of the proposed test based on bootstrap approach.


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