A Recursive Exponential-Gamma Mixture: a New Generalized of the Lindley Distribution
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909977034096640 |
|---|---|
| author | Yaghoubi, Afshin Khorram, Esmaile Arjmand, Omid Naghshineh |
| author_facet | Yaghoubi, Afshin Khorram, Esmaile Arjmand, Omid Naghshineh |
| contents | The Lindley distribution was first introduced by Lindley in 1958 for Bayesian computations. Over the past years, various generalizations of this distribution have been proposed by different authors. The generalized Lindley distributions sometimes have many parameters, and although they show good flexibility, their statistical form becomes complicated. In this article, we propose a new and simple distribution determined by the recursive relation of the Lindley distribution and the Gamma distribution with specific weights. Subsequently, some statistical properties of this distribution are examined, and with real numerical examples, its superiority over the Lindley generalizations is demonstrated. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_22866 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Recursive Exponential-Gamma Mixture: a New Generalized of the Lindley Distribution Yaghoubi, Afshin Khorram, Esmaile Arjmand, Omid Naghshineh Statistics Theory The Lindley distribution was first introduced by Lindley in 1958 for Bayesian computations. Over the past years, various generalizations of this distribution have been proposed by different authors. The generalized Lindley distributions sometimes have many parameters, and although they show good flexibility, their statistical form becomes complicated. In this article, we propose a new and simple distribution determined by the recursive relation of the Lindley distribution and the Gamma distribution with specific weights. Subsequently, some statistical properties of this distribution are examined, and with real numerical examples, its superiority over the Lindley generalizations is demonstrated. |
| title | A Recursive Exponential-Gamma Mixture: a New Generalized of the Lindley Distribution |
| topic | Statistics Theory |
| url | https://arxiv.org/abs/2512.22866 |