The Beta-Lindley Distribution: Properties and Applications
We introduce the new continuous distribution, the so-called beta-Lindley distribution that extends the Lindley distribution. We provide a comprehensive mathematical treatment of this distribution. We derive the moment generating function and the rth moment thus, generalizing some results in the lite...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/198951 |
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| _version_ | 1832556199129645056 |
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| author | Faton Merovci Vikas Kumar Sharma |
| author_facet | Faton Merovci Vikas Kumar Sharma |
| author_sort | Faton Merovci |
| collection | DOAJ |
| description | We introduce the new continuous distribution, the so-called beta-Lindley distribution that extends the Lindley distribution. We provide a comprehensive mathematical treatment of this distribution. We derive the moment generating function and the rth moment thus, generalizing some results in the literature. Expressions for the density, moment generating function, and rth moment of the order statistics also are obtained. Further, we also discuss estimation of the unknown model parameters in both classical and Bayesian setup. The usefulness of the new model is illustrated by means of two real data sets. We hope that the new distribution proposed here will serve as an alternative model to other models available in the literature for modelling positive real data in many areas. |
| format | Article |
| id | doaj-art-83345f83e1a54283badb7505efa1d8d6 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-83345f83e1a54283badb7505efa1d8d62025-02-03T05:46:09ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/198951198951The Beta-Lindley Distribution: Properties and ApplicationsFaton Merovci0Vikas Kumar Sharma1Department of Mathematics, University of Prishtina “Hasan Prishtina”, 10000 Prishtinë, KosovoDepartment of Statistics, Banaras Hindu University, Varanasi 221005, IndiaWe introduce the new continuous distribution, the so-called beta-Lindley distribution that extends the Lindley distribution. We provide a comprehensive mathematical treatment of this distribution. We derive the moment generating function and the rth moment thus, generalizing some results in the literature. Expressions for the density, moment generating function, and rth moment of the order statistics also are obtained. Further, we also discuss estimation of the unknown model parameters in both classical and Bayesian setup. The usefulness of the new model is illustrated by means of two real data sets. We hope that the new distribution proposed here will serve as an alternative model to other models available in the literature for modelling positive real data in many areas.http://dx.doi.org/10.1155/2014/198951 |
| spellingShingle | Faton Merovci Vikas Kumar Sharma The Beta-Lindley Distribution: Properties and Applications Journal of Applied Mathematics |
| title | The Beta-Lindley Distribution: Properties and Applications |
| title_full | The Beta-Lindley Distribution: Properties and Applications |
| title_fullStr | The Beta-Lindley Distribution: Properties and Applications |
| title_full_unstemmed | The Beta-Lindley Distribution: Properties and Applications |
| title_short | The Beta-Lindley Distribution: Properties and Applications |
| title_sort | beta lindley distribution properties and applications |
| url | http://dx.doi.org/10.1155/2014/198951 |
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