Exponentiated (Lehmann Type-II) Nadarajah-Haghighi Distribution: Properties and Applications | ||
| المجلة العلمية للدراسات والبحوث المالية والتجارية | ||
| Article 26, Volume 5, Issue 1, January 2024, Pages 687-705 PDF (1.73 M) | ||
| Document Type: المقالة الأصلية | ||
| DOI: 10.21608/cfdj.2024.324115 | ||
| Authors | ||
| Mahmoud Selim; Nader fathi | ||
| جامعة الازهر | ||
| Abstract | ||
| In this paper we introduce a new distribution called exponentiated (Lehmann type-II) Nadarajah-Haghighi (ENH-II). This version is considered a generalization of the original distribution and is more flexible than it. The statistical distributional properties of the new model are explored, including the reliability function, hazard function, a reverse hazard function, quantile function, and moment generating function. Additionally, the paper derives the moments, incomplete moments, mean deviations, Bonferroni and Lorenz curves, and some of order statistics densities functions. The study employs the maximum likelihood estimation method to estimate the model parameters. Finally, the applicability of the proposed distribution has been demonstrated by application to real data. The application showed the flexibility of the proposed distribution and its superiority over similar distributions, | ||
| Keywords | ||
| Nadarajah-Haghighi distribution; Weibull distribution; moment; hazard rate function; order statistics; Bonferroni and Lorenz curves; maximum likelihood estimation | ||
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