JSM 2004 - Toronto

Abstract #300102

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Activity Number: 420
Type: Invited
Date/Time: Thursday, August 12, 2004 : 10:30 AM to 12:20 PM
Sponsor: IMS
Abstract - #300102
Title: Comparison of Density Functions via Empirical Likelihood
Author(s): Ricardo Cao and Ingrid Van Keilegom*+
Companies: University of La Coruna and Universite catholique de Louvain
Address: Institut de Statistique, Louvain-la-Neuve, International, 1348, Belgium
Keywords: empirical likelihood ; smoothing ; kernel estimation ; hypothesis testing
Abstract:

Consider p independent random variables X_1,...,X_p with density f_1,...,f_p respectively. We consider the problem of testing the equality of f_1,...,f_p. This task is accomplished by using a local empirical likelihood approach. The asymptotic behavior of the proposed test statistic is proved and its performance is illustrated by means of some finite sample simulations. A bootstrap appoximation is proposed to better estimate the critical value of the test. Finally, the choice of the bandwidth is discussed.


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