The exponentiated discrete inverse rayleigh distribution
In this paper, a new distribution called the exponentiated discrete inverse Rayleigh distribution is introduced, which isan extension of the discrete inverse Rayleigh distribution. This new discrete distribution is a discrete analogue of the continuous exponentiated inverse Rayleigh distribution. In...
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| Format: | Article |
| Language: | English |
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University of Mohaghegh Ardabili
2020-06-01
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| Series: | Journal of Hyperstructures |
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| Online Access: | https://jhs.uma.ac.ir/article_2626_cc6c7962a100e6b478c5294d15700560.pdf |
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| author | S.M.T.K. MirMostafaee Zahra Hamed Mashhadzadeh |
| author_facet | S.M.T.K. MirMostafaee Zahra Hamed Mashhadzadeh |
| author_sort | S.M.T.K. MirMostafaee |
| collection | DOAJ |
| description | In this paper, a new distribution called the exponentiated discrete inverse Rayleigh distribution is introduced, which isan extension of the discrete inverse Rayleigh distribution. This new discrete distribution is a discrete analogue of the continuous exponentiated inverse Rayleigh distribution. In this paper, we discuss the shapes of probability mass and hazard rate functions, the moments of the new distribution and data generation. The maximum likelihood estimation of the parameters is also studied. Finally, an example is given to demonstrate an application of the new distribution. |
| format | Article |
| id | doaj-art-d23bd07021354cfbb01b5700bcc1b292 |
| institution | Matheson Library |
| issn | 2251-8436 2322-1666 |
| language | English |
| publishDate | 2020-06-01 |
| publisher | University of Mohaghegh Ardabili |
| record_format | Article |
| series | Journal of Hyperstructures |
| spelling | doaj-art-d23bd07021354cfbb01b5700bcc1b2922025-07-09T08:35:23ZengUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-84362322-16662020-06-0191546110.22098/jhs.2020.26262626The exponentiated discrete inverse rayleigh distributionS.M.T.K. MirMostafaee0Zahra Hamed Mashhadzadeh1Department of Statistics, University of Mazandaran, P.O.Box 47416-1467, Babolsar,IranDepartment of Statistics, University of Mazandaran, P.O.Box 47416-1467, Babolsar,IranIn this paper, a new distribution called the exponentiated discrete inverse Rayleigh distribution is introduced, which isan extension of the discrete inverse Rayleigh distribution. This new discrete distribution is a discrete analogue of the continuous exponentiated inverse Rayleigh distribution. In this paper, we discuss the shapes of probability mass and hazard rate functions, the moments of the new distribution and data generation. The maximum likelihood estimation of the parameters is also studied. Finally, an example is given to demonstrate an application of the new distribution.https://jhs.uma.ac.ir/article_2626_cc6c7962a100e6b478c5294d15700560.pdfmaximum likelihood estimationhazard rate functiondiscrete inverse rayleigh distributionmoment |
| spellingShingle | S.M.T.K. MirMostafaee Zahra Hamed Mashhadzadeh The exponentiated discrete inverse rayleigh distribution Journal of Hyperstructures maximum likelihood estimation hazard rate function discrete inverse rayleigh distribution moment |
| title | The exponentiated discrete inverse rayleigh distribution |
| title_full | The exponentiated discrete inverse rayleigh distribution |
| title_fullStr | The exponentiated discrete inverse rayleigh distribution |
| title_full_unstemmed | The exponentiated discrete inverse rayleigh distribution |
| title_short | The exponentiated discrete inverse rayleigh distribution |
| title_sort | exponentiated discrete inverse rayleigh distribution |
| topic | maximum likelihood estimation hazard rate function discrete inverse rayleigh distribution moment |
| url | https://jhs.uma.ac.ir/article_2626_cc6c7962a100e6b478c5294d15700560.pdf |
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