Geodesic
The extended Burr XII distribution: properties and applications
Afify, Ahmed Z. 1 ; Abdellatif, Ashraf D. 2
1 Department of Statistics, Mathematics and Insurance, Benha University, Egypt
2 Department of Technological Management and Information, Higher Technological Institute, 10th of Ramadan, Egypt
Journal of nonlinear sciences and its applications, Tome 13 (2020) no. 3, p. 133-146.

Voir la notice de l'article provenant de la source International Scientific Research Publications

This paper introduces a new four-parameter lifetime model called the Marshall-Olkin generalized Burr XII (MOGBXII) distribution. We derive some of its mathematical properties, including quantile and generating functions, ordinary and incomplete moments, mean residual life, and mean waiting time and order statistics. The MOGBXII density can be expressed as a linear mixture of Burr XII densities. The maximum likelihood and least squares methods are used to estimate the MOGBXII parameters. Simulation results are obtained to compare the performances of the two estimation methods for both small and large samples. We empirically illustrate the flexibility and importance of the MOGBXII distribution in modeling various types of lifetime data.
DOI : 10.22436/jnsa.013.03.02
Classification : 62E10, 60E05
Keywords: Burr XII, least squares, maximum likelihood, mean residual life, moments, order statistics

Afify, Ahmed Z.  1 ; Abdellatif, Ashraf D.  2

1 Department of Statistics, Mathematics and Insurance, Benha University, Egypt
2 Department of Technological Management and Information, Higher Technological Institute, 10th of Ramadan, Egypt 
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Afify, Ahmed Z. ; Abdellatif, Ashraf D. . The extended Burr XII distribution: properties and applications. Journal of nonlinear sciences and its applications, Tome 13 (2020) no. 3, p. 133-146. doi : 10.22436/jnsa.013.03.02. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.013.03.02/

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