Alternative Tests for the Poisson Distribution

Poisson distribution is well used as a standard model for analyzing count data. Tests based on the index of dispersion (ID) concerning the variance and the mean are not able to discriminate between the Poisson distribution and some others. An alternative method for the test that data comes from Pois...

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Main Authors:	Manad Khamkong, Pachitjianut Siripanich
Language:	English
Published:	Science Faculty of Chiang Mai University 2019
Subjects:	Coefficient of variation Goodness of fit test Index of dispersion Skewness
Online Access:	http://it.science.cmu.ac.th/ejournal/dl.php?journal_id=5946 http://cmuir.cmu.ac.th/jspui/handle/6653943832/66148
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Institution:	Chiang Mai University
Language:	English

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spelling	th-cmuir.6653943832-661482019-08-21T09:18:22Z Alternative Tests for the Poisson Distribution Manad Khamkong Pachitjianut Siripanich Coefficient of variation Goodness of fit test Index of dispersion Skewness Poisson distribution is well used as a standard model for analyzing count data. Tests based on the index of dispersion (ID) concerning the variance and the mean are not able to discriminate between the Poisson distribution and some others. An alternative method for the test that data comes from Poisson distribution are proposed based on skewness properties, which is the same as coefficient of variation properties. Monte Carlo studies show that the proposed tests are powerful competitor to the ID tests when alternative distribution is not Poisson but its variance is close to the mean. 2019-08-21T09:18:22Z 2019-08-21T09:18:22Z 2015 Chiang Mai Journal of Science 42, 3 (July 2015), 774 - 782 0125-2526 http://it.science.cmu.ac.th/ejournal/dl.php?journal_id=5946 http://cmuir.cmu.ac.th/jspui/handle/6653943832/66148 Eng Science Faculty of Chiang Mai University
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
language	English
topic	Coefficient of variation Goodness of fit test Index of dispersion Skewness
spellingShingle	Coefficient of variation Goodness of fit test Index of dispersion Skewness Manad Khamkong Pachitjianut Siripanich Alternative Tests for the Poisson Distribution
description	Poisson distribution is well used as a standard model for analyzing count data. Tests based on the index of dispersion (ID) concerning the variance and the mean are not able to discriminate between the Poisson distribution and some others. An alternative method for the test that data comes from Poisson distribution are proposed based on skewness properties, which is the same as coefficient of variation properties. Monte Carlo studies show that the proposed tests are powerful competitor to the ID tests when alternative distribution is not Poisson but its variance is close to the mean.
author	Manad Khamkong Pachitjianut Siripanich
author_facet	Manad Khamkong Pachitjianut Siripanich
author_sort	Manad Khamkong
title	Alternative Tests for the Poisson Distribution
title_short	Alternative Tests for the Poisson Distribution
title_full	Alternative Tests for the Poisson Distribution
title_fullStr	Alternative Tests for the Poisson Distribution
title_full_unstemmed	Alternative Tests for the Poisson Distribution
title_sort	alternative tests for the poisson distribution
publisher	Science Faculty of Chiang Mai University
publishDate	2019
url	http://it.science.cmu.ac.th/ejournal/dl.php?journal_id=5946 http://cmuir.cmu.ac.th/jspui/handle/6653943832/66148
_version_	1681426400984170496

Alternative Tests for the Poisson Distribution

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