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The exponentiated discrete inverse rayleigh distribution | ||
| Journal of Hyperstructures | ||
| دوره 9، شماره 1، شهریور 2020، صفحه 54-61 اصل مقاله (260.54 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2020.2626 | ||
| نویسندگان | ||
| S.M.T.K. MirMostafaee* ؛ Zahra Hamed Mashhadzadeh | ||
| Department of Statistics, University of Mazandaran, P.O.Box 47416-1467, Babolsar,Iran | ||
| چکیده | ||
| In this paper, a new distribution called the exponentiated discrete inverse Rayleigh distribution is introduced, which is an 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. | ||
| کلیدواژه‌ها | ||
| Maximum likelihood estimation؛ Hazard rate function؛ discrete inverse Rayleigh distribution؛ Moment | ||
| مراجع | ||
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[1] M. Aghababaei Jazi, C. D. Lai and M. H. Alamatsaz, A discrete inverse Weibull distribution and estimation of its parameters, Statistical Methodology, 7 (2010), 121-132. [2] H. Akaike, A new look at the statistical model identi cation, IEEE Transactions on Automatic Control, 19 (1974), 716-723. [3] T. Hussain and M. Ahmad, Discrete inverse Rayleigh distribution, Pakistan Journal of Statistics, 30 (2014), 203-222. [4] R Core Team, R: A language and environment for statistical computing, R Foundation for Statistical Computing, Vienna, Austria (2019). [5] Student, On the error of counting with a haemacytometer, Biometrika, 5 (1907), 351-360. | ||
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