The Poisson-generalised Lindley distribution and its applications

The Poisson-generalised Lindley distribution and its applications

The Poisson distribution plays important role in count data analysis. However, the Poisson distribution cannot model some data with over-dispersion because of its property, equi-dispersion. Here we propose a new distribution for overdispersed count data, namely the Poisson-generalised Lindley dist...

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Bibliographic Details
Main Authors: Weerinrada Wongrin, Winai Bodhisuwan
Format: Article
Language:English
Published: Prince of Songkla University 2016-12-01
Series:Songklanakarin Journal of Science and Technology (SJST)
Subjects:
count data
mixed Poisson distribution
generalised Lindley distribution
over-dispersion
Online Access:http://rdo.psu.ac.th/sjstweb/journal/38-6/38-6-7.pdf
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spelling doaj-8a3ec24a94d14537bc71a6aeb35434b52020-11-24T21:38:01ZengPrince of Songkla UniversitySongklanakarin Journal of Science and Technology (SJST)0125-33952016-12-0138664565610.14456/sjst-psu.2016.82The Poisson-generalised Lindley distribution and its applicationsWeerinrada Wongrin0Winai Bodhisuwan1Department of Statistics, Faculty of Science, Kasetsart University, Chatuchak, Bangkok, 10900 Thailand.Department of Statistics, Faculty of Science, Kasetsart University, Chatuchak, Bangkok, 10900 Thailand.The Poisson distribution plays important role in count data analysis. However, the Poisson distribution cannot model some data with over-dispersion because of its property, equi-dispersion. Here we propose a new distribution for overdispersed count data, namely the Poisson-generalised Lindley distribution. Basic properties of the distribution and special cases are also derived. In addition, the new distribution is applied to some real data sets using the method of maximum likelihood for parameter estimation. The results based on p-value of the discrete Anderson-Daring test show that the new distribution can be used as an alternative model for count data analysis.http://rdo.psu.ac.th/sjstweb/journal/38-6/38-6-7.pdfcount datamixed Poisson distributiongeneralised Lindley distributionover-dispersion
collection DOAJ
language English
format Article
sources DOAJ
author Weerinrada Wongrin
Winai Bodhisuwan
spellingShingle Weerinrada Wongrin
Winai Bodhisuwan
The Poisson-generalised Lindley distribution and its applications
Songklanakarin Journal of Science and Technology (SJST)
count data
mixed Poisson distribution
generalised Lindley distribution
over-dispersion
author_facet Weerinrada Wongrin
Winai Bodhisuwan
author_sort Weerinrada Wongrin
title The Poisson-generalised Lindley distribution and its applications
title_short The Poisson-generalised Lindley distribution and its applications
title_full The Poisson-generalised Lindley distribution and its applications
title_fullStr The Poisson-generalised Lindley distribution and its applications
title_full_unstemmed The Poisson-generalised Lindley distribution and its applications
title_sort poisson-generalised lindley distribution and its applications
publisher Prince of Songkla University
series Songklanakarin Journal of Science and Technology (SJST)
issn 0125-3395
publishDate 2016-12-01
description The Poisson distribution plays important role in count data analysis. However, the Poisson distribution cannot model some data with over-dispersion because of its property, equi-dispersion. Here we propose a new distribution for overdispersed count data, namely the Poisson-generalised Lindley distribution. Basic properties of the distribution and special cases are also derived. In addition, the new distribution is applied to some real data sets using the method of maximum likelihood for parameter estimation. The results based on p-value of the discrete Anderson-Daring test show that the new distribution can be used as an alternative model for count data analysis.
topic count data
mixed Poisson distribution
generalised Lindley distribution
over-dispersion
url http://rdo.psu.ac.th/sjstweb/journal/38-6/38-6-7.pdf
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