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On the distribution generated by Waring-type probability with application to COVID-19 data | ||
| Journal of Hyperstructures | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 09 مهر 1404 اصل مقاله (3.04 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2025.16442.1068 | ||
| نویسنده | ||
| Davood Farbod* | ||
| Department of Mathematics, Faculty of Engineering Science, Quchan University of Technology, Quchan, Iran. | ||
| چکیده | ||
| Farbod (2024) introduced a 2-parameter regularly varying discrete distribution generated by Waring-type probability (2-RDWP). In this paper, asymptotic properties of maximum likelihood estimators of the unknown parameters are established for the 2-RDWP model. Some new plots including cumulative distribution function, survival function and hazard rate function are illustrated for the 2-RDWP model. Two real data sets of COVID-19 are applied to show the model's applicability compared to other rival distributions. Based on some statistical criteria we see that the 2-RDWP, for these real data sets, has satisfactory results with respect to rival models. Using an optimization algorithm, maximum likelihood estimations of the unknown parameters are proposed. | ||
| کلیدواژه‌ها | ||
| Asymptotic properties؛ COVID-19؛ Maximum likelihood؛ Rival models؛ Waring-type probability | ||
| مراجع | ||
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