Estimation of Sameera Distribution Parameters with Applications to Real Data

Authors

Loai Alzoubi, Department of Mathematics, Al al-Bayt University, Mafraq, 25113, Mafraq, JordanFollow
Mohammed Gharaibeha, Department of Mathematics, Al al-Bayt University, Mafraq, 25113, Mafraq, JordanFollow
Ahmad Al-Khazaleh, Department of Mathematics, Al al-Bayt University, Mafraq, 25113, Mafraq, JordanFollow
Mohammed Benrabia, University of mohamed cherif messaidia AlgeriaFollow

Author Country (or Countries)

Jordan

Abstract

In this paper, a new two-parameter continuous distribution called Sameera distribution is proposed. Some statistical properties of this distribution are derived such as: moment-generating function, moments, and related measures, reliability analysis and associated functions. Also, the distribution of order statistics and the quantile function are presented. The Shannon, Re ́nyi, and Tsallis entropies are derived. The methods of maximum likelihood estimation, ordinary and weighted least squares, Anderson-Darling, Cramer-Von Mises, and maximum product spacing are used to estimate the distribution parameters. A simulation study is performed to investigate the performance of these methods. Real data applications show that the proposed distribution can provide a better fit than several competitive distributions.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/160624

Recommended Citation

Alzoubi, Loai; Gharaibeha, Mohammed; Al-Khazaleh, Ahmad; and Benrabia, Mohammed (2022) "Estimation of Sameera Distribution Parameters with Applications to Real Data," Applied Mathematics & Information Sciences: Vol. 16: Iss. 5, Article 24.
DOI: http://dx.doi.org/10.18576/amis/160624
Available at: https://digitalcommons.aaru.edu.jo/amis/vol16/iss5/24