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Activity Number: 415
Type: Contributed
Date/Time: Tuesday, August 5, 2014 : 2:00 PM to 3:50 PM
Sponsor: Section on Nonparametric Statistics
Abstract #311070
Title: The Probability Weighted Characteristic Function and Goodness-of-Fit Testing
Author(s): James Allison*+ and Simos Meintanis and Jan Swanepoel
Companies: North-West University and Kapodistrian University of Athens and North-West University
Keywords: goodness-of-fit testing ; characteristic function ; empirical characteristic function
Abstract:

We introduce the notion of the probability weighted characteristic function (PWCF) as a generalization of the characteristic function. Some of the properties of the PWCF and of its empirical counterpart are studied and the potential use of these quantities in goodness-of-fit testing is examined. Corresponding limiting null distributions and consistency results for location-scale models are derived and finite-sample comparisons are presented.


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