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