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Activity Number: 76
Type: Contributed
Date/Time: Sunday, August 3, 2014 : 4:00 PM to 5:50 PM
Sponsor: Section on Nonparametric Statistics
Abstract #312698
Title: Kernel-based Kullback-Leibler Divergence on Nonparametric Density Alternatives
Author(s): Han Yu*+
Companies:
Keywords: Goodness-of-Fit ; density estimator ; Kullback-Leibler ; kernel smoothing
Abstract:

A kernel-based Kullback-Leibler divergence is proposed. The proposed Kullback-Leibler divergence are used for tests on nonparametric density alternatives that are developed to be asymptotically distribution-free. The procedure can be viewed as a nonparametric extension of the traditional parametric likelihood ratio tests. Simulations of the proposed tests are provided for the small sample size performance.


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