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Activity Number: 475
Type: Contributed
Date/Time: Wednesday, August 5, 2009 : 10:30 AM to 12:20 PM
Sponsor: IMS
Abstract - #304843
Title: A Goodness-of-Fit Test for a Generalized Inverse Gaussian Based on the Matsumoto-Yor Property
Author(s): Severien Nkurunziza*+ and Angelo E. Koudou
Companies: University of Windsor and Institut Elie Cartan
Address: 401 Sunset Av., Windsor, ON, N9B3P4, Canada
Keywords: Gamma distribution ; generalized inverse Gaussian distribution ; Matsumoto-Yor property ; goodness-of-fit test
Abstract:

The generalized inverse Gaussian has been revealed to be more convenient in modeling and analyzing the data sets where the observations are positive and highly right-skewed. In this communication, we consider to derive a goodness-of-fit test for testing if a given data set is from a generalized inverse Gaussian distribution. The established goodness-of-fit test is based on the extended version of the Matsumoto-Yor property. Further, in order to illustrate the application of the suggested test, we analyze four real data sets. Finally, numerical results from intensive simulation studies show that the suggested test is consistent.


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