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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Prince of Songkla University
2016-12-01
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| Series: | Songklanakarin Journal of Science and Technology (SJST) |
| Subjects: | |
| Online Access: | http://rdo.psu.ac.th/sjstweb/journal/38-6/38-6-7.pdf |
| _version_ | 1819169024326500352 |
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| author | Weerinrada Wongrin Winai Bodhisuwan |
| author_facet | Weerinrada Wongrin Winai Bodhisuwan |
| author_sort | Weerinrada Wongrin |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-12-22T19:12:55Z |
| format | Article |
| id | doaj.art-8a3ec24a94d14537bc71a6aeb35434b5 |
| institution | Directory Open Access Journal |
| issn | 0125-3395 |
| language | English |
| last_indexed | 2024-12-22T19:12:55Z |
| publishDate | 2016-12-01 |
| publisher | Prince of Songkla University |
| record_format | Article |
| series | Songklanakarin Journal of Science and Technology (SJST) |
| spelling | doaj.art-8a3ec24a94d14537bc71a6aeb35434b52022-12-21T18:15:36ZengPrince 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 |
| 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 |
| title | 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_short | The Poisson-generalised Lindley distribution and its applications |
| title_sort | poisson generalised lindley distribution and its applications |
| 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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