JSM 2011 Online Program

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Abstract Details

Activity Number: 274
Type: Invited
Date/Time: Tuesday, August 2, 2011 : 8:30 AM to 10:20 AM
Sponsor: Section on Nonparametric Statistics
Abstract - #300161
Title: Testing the Number of Components in a Semiparametric Mixture Model via Empirical Likelihood
Author(s): Lianfen Qian*+
Companies: Florida Atlantic University
Address: 777 Glades Road, Boca Raton, FL, 33431,
Keywords: Number of Components ; Mixture Model ; Empirical Likelihood
Abstract:

This talk first proposes a partial empirical likelihood ratio (PELR) statistic to test for 1-component against k-component (k>1) in a semiparametric mixture model. We will examine the distribution of the PELR statistic under the null. Based on the PELR statistic we will propose an empirical likelihood based estimator of the number of components. Simulation studies will be reported on the distributional properties of the proposed test statistic under null hypothesis and the performance of the estimation for finite sample size.


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