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An Alternative Goodness-of-fit Test for a Gamma Distribution Based on the Independence Property


Paper Type 
Contributed Paper
Title 
An Alternative Goodness-of-fit Test for a Gamma Distribution Based on the Independence Property
Author 
Bandhita Plubin* and Pachitjanut Siripanich
Email 
bandhita2459@gmail.com
Abstract:
The focus of this study is primarily on testing whether data come from a gamma distribution, one of the most important distributions used to model physial quantities that take positive values. To this end, a test statistic has been developed based on the independence property ofa gama distribution. The proposed test statistic is asumptotically distributed as standard normal under the null hypothesis as the sample size approaches infinity. Extensive simulation studies indicate that the performance of the proposed test is substantially better than existing tests reported in the literature, especially in caess with samples of moderate size. The test has also been applied to honey bee transit time data to demonstrate the efficacy of the new test statistic.
Start & End Page 
1180 - 1190
Received Date 
2015-12-28
Revised Date 
Accepted Date 
2016-04-01
Full Text 
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Keyword 
gamma distribution, independence property, Kendall coefficient
Volume 
Vol.44 No.3 (July 2017)
DOI 
SDGs
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Chiang Mai Journal of Science

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