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A new discrete distribution: The exponentiated discrete inverse Weibull distribution | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 21 تیر 1405 اصل مقاله (480.15 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2025.33690.5033 | ||
| نویسندگان | ||
| Zahra Hamed Mashhadzadeh؛ S.M.T. Kamel MirMostafaee* | ||
| Department of Statistics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran | ||
| تاریخ دریافت: 17 فروردین 1403، تاریخ بازنگری: 01 آذر 1403، تاریخ پذیرش: 16 اردیبهشت 1404 | ||
| چکیده | ||
| Discrete distributions are used to model count data; however, at the same time, they can play an important role in lifetime phenomena. In this paper, a new discrete distribution is proposed called the exponentiated discrete inverse Weibull distribution. The new distribution includes several older distributions as special cases. Several distributional properties of the new distribution, such as probability mass function, hazard rate function, moments, skewness, kurtosis, and order statistics, are studied. The new distribution can be a good candidate for modelling platykurtic data sets. The problem of point estimation of the parameters based on the maximum likelihood method is discussed. The asymptotic confidence intervals for the unknown parameters are obtained as well. A simulation study is carried out to evaluate the maximum likelihood estimators and asymptotic confidence intervals. A real data set is analyzed in order to show the applicability of the new distribution. We end the paper with some remarks. | ||
| کلیدواژهها | ||
| Discrete inverse Weibull distribution؛ Maximum likelihood estimation؛ Moments؛ Order statistics؛ Platykurtic data. | ||
| مراجع | ||
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