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Abstract Details
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Activity Number:
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32
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Type:
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Contributed
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Date/Time:
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Sunday, July 31, 2011 : 2:00 PM to 3:50 PM
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Sponsor:
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Section on Statistical Computing
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| Abstract - #300753 |
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Title:
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Performance of Some Test Statistics for Testing the Mean of a Poisson Distribution
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Author(s):
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Florence George*+ and B. M. Golam Kibria
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Companies:
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Florida International University and Florida International University
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Address:
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Dept of Mathematics & Statistics, Miami, FL, 33199,
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Keywords:
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Hypothesis Testing ;
Poisson Distribution ;
Power ;
Simulation
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Abstract:
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This paper considers the problem of hypotheses testing of the mean of a Poisson distribution. Accordingly we consider the following test statistics: Wald, WCC, Score (S), FT, VS, RVS, Exact and Bayes test statistics. A simulation study based on both one and two sided alternatives has been conducted to compare the performances of the test statistics. The simulation study suggests that for large sample size, all proposed test statistics except VCC and FT performing well in the sense of correct type I error rate of the test and power. However, for small sample size, Score and VS have better type I error rate and power properties than the other test statistics. Hope the paper will be useful for the practitioners.
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