JSM 2011 Online Program

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Abstract Details

Activity Number: 583
Type: Contributed
Date/Time: Wednesday, August 3, 2011 : 2:00 PM to 3:50 PM
Sponsor: IMS
Abstract - #302245
Title: Characterization of Binomial Distribution and Application to Goodness-of-Fit Test
Author(s): Dhanuja Kasturiratna*+ and Truc T. Nguyen and Arjun K. Gupta
Companies: Northern Kentucky University and Bowling Green State University and Bowling Green State University
Address: Dept. of Mathematics and Statistics, Highland Heights, KY, 41099,
Keywords: Characterization ; Goodness of fit test ; Binomial distribution
Abstract:

Characterization of binomial distribution based on second conditional moment has been obtained. This characterization is used to construct a conditional exact goodness-of-fit test for testing the binomial distribution. The approximation of this test in the large sample case is shown to be a two sided chi square test for binomial distribution. The powers of the tests are studied by Monte Carlo methods for several alternatives.


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