The extended Burr XII distribution: properties and applications
Volume 13, Issue 3, pp 133--146
http://dx.doi.org/10.22436/jnsa.013.03.02
Publication Date: November 13, 2019
Submission Date: June 26, 2019
Revision Date: August 06, 2019
Accteptance Date: August 26, 2019
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Authors
Ahmed Z. Afify
- Department of Statistics, Mathematics and Insurance, Benha University, Egypt.
Ashraf D. Abdellatif
- Department of Technological Management and Information, Higher Technological Institute, 10th of Ramadan, Egypt.
Abstract
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.
Share and Cite
ISRP Style
Ahmed Z. Afify, Ashraf D. Abdellatif, The extended Burr XII distribution: properties and applications, Journal of Nonlinear Sciences and Applications, 13 (2020), no. 3, 133--146
AMA Style
Afify Ahmed Z., Abdellatif Ashraf D., The extended Burr XII distribution: properties and applications. J. Nonlinear Sci. Appl. (2020); 13(3):133--146
Chicago/Turabian Style
Afify, Ahmed Z., Abdellatif, Ashraf D.. "The extended Burr XII distribution: properties and applications." Journal of Nonlinear Sciences and Applications, 13, no. 3 (2020): 133--146
Keywords
- Burr XII
- least squares
- maximum likelihood
- mean residual life
- moments
- order statistics
MSC
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