A New Poisson Generalized Lindley Regression Model
In this paper, a new count distribution is introduced. It is a mixture of the Poisson and generalized Lindley distributions. Statistical properties of the proposed distribution including the factorial moments, probability generating function, moment generating function and moments are studies. Maxi...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Austrian Statistical Society
2023-03-01
|
| Series: | Austrian Journal of Statistics |
| Online Access: | https://www.ajs.or.at/index.php/ajs/article/view/1344 |
| _version_ | 1797851123958153216 |
|---|---|
| author | Yupapin Atikankul |
| author_facet | Yupapin Atikankul |
| author_sort | Yupapin Atikankul |
| collection | DOAJ |
| description |
In this paper, a new count distribution is introduced. It is a mixture of the Poisson and generalized Lindley distributions. Statistical properties of the proposed distribution including the factorial moments, probability generating function, moment generating function and moments are studies. Maximum likelihood estimators of unknown parameters are derived.
Moreover, an alternative count regression model based on the proposed distribution is presented. Finally, the proposed model is applied for real data and compared with other well-known models.
|
| first_indexed | 2024-04-09T19:12:46Z |
| format | Article |
| id | doaj.art-ab3815ce083f45419976a5fdc9d84218 |
| institution | Directory Open Access Journal |
| issn | 1026-597X |
| language | English |
| last_indexed | 2024-04-09T19:12:46Z |
| publishDate | 2023-03-01 |
| publisher | Austrian Statistical Society |
| record_format | Article |
| series | Austrian Journal of Statistics |
| spelling | doaj.art-ab3815ce083f45419976a5fdc9d842182023-04-06T15:26:08ZengAustrian Statistical SocietyAustrian Journal of Statistics1026-597X2023-03-0152110.17713/ajs.v52i1.1344A New Poisson Generalized Lindley Regression ModelYupapin Atikankul0Rajamangala University of Technology Phra Nakhon In this paper, a new count distribution is introduced. It is a mixture of the Poisson and generalized Lindley distributions. Statistical properties of the proposed distribution including the factorial moments, probability generating function, moment generating function and moments are studies. Maximum likelihood estimators of unknown parameters are derived. Moreover, an alternative count regression model based on the proposed distribution is presented. Finally, the proposed model is applied for real data and compared with other well-known models. https://www.ajs.or.at/index.php/ajs/article/view/1344 |
| spellingShingle | Yupapin Atikankul A New Poisson Generalized Lindley Regression Model Austrian Journal of Statistics |
| title | A New Poisson Generalized Lindley Regression Model |
| title_full | A New Poisson Generalized Lindley Regression Model |
| title_fullStr | A New Poisson Generalized Lindley Regression Model |
| title_full_unstemmed | A New Poisson Generalized Lindley Regression Model |
| title_short | A New Poisson Generalized Lindley Regression Model |
| title_sort | new poisson generalized lindley regression model |
| url | https://www.ajs.or.at/index.php/ajs/article/view/1344 |
| work_keys_str_mv | AT yupapinatikankul anewpoissongeneralizedlindleyregressionmodel AT yupapinatikankul newpoissongeneralizedlindleyregressionmodel |