The odd inverse Pareto-G class: properties and applications
Volume 12, Issue 5, pp 278--290
http://dx.doi.org/10.22436/jnsa.012.05.02
Publication Date: December 14, 2018
Submission Date: July 05, 2018
Revision Date: October 05, 2018
Accteptance Date: October 26, 2018
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Authors
Maha A. Aldahlan
- Statistics Department, Faculty of Science, King Abdulaziz University, Jaddeh, KSA.
- Statistics Department, Faculty of Science, University of Jeddah, Jaddeh, KSA.
Ahmed Z. Afify
- Department of Statistics, Mathematics and Insurance, Benha University, Egypt.
A-Hadi N. Ahmed
- Department of mathematical statistics, ISSR, Cairo University, Egypt.
Abstract
We introduce a new family of continuous distributions called the \textit{odd
inverse Pareto-G} class which extends the exponentiated-G family due to
Gupta et al. [R. C. Gupta, P. L. Gupta, R. D. Gupta, Comm. Statist. Theory Methods, \(\textbf{27}\)
(1998), 887--904] and the Marshall-Olkin-G class due to Marshall and Olkin
[A. W. Marshall, I. Olkin, Biometrika, \(\textbf{84}\) (1997), 641--652]. We define and study two special models of the proposed family which
are capable of modeling various shapes of aging and failure criteria. The
special models of this family can provide reversed J-shape, symmetric, left
skewed, right skewed, unimodal or bimodal shapes for the density function.
Some of its mathematical properties are derived. The maximum likelihood
method is used to estimate the model parameters. By means of four real data
sets we show that the special models of this family have superior
performance over several existing distributions.
Share and Cite
ISRP Style
Maha A. Aldahlan, Ahmed Z. Afify, A-Hadi N. Ahmed, The odd inverse Pareto-G class: properties and applications, Journal of Nonlinear Sciences and Applications, 12 (2019), no. 5, 278--290
AMA Style
Aldahlan Maha A., Afify Ahmed Z., Ahmed A-Hadi N., The odd inverse Pareto-G class: properties and applications. J. Nonlinear Sci. Appl. (2019); 12(5):278--290
Chicago/Turabian Style
Aldahlan, Maha A., Afify, Ahmed Z., Ahmed, A-Hadi N.. "The odd inverse Pareto-G class: properties and applications." Journal of Nonlinear Sciences and Applications, 12, no. 5 (2019): 278--290
Keywords
- Generating function
- inverse Pareto distribution
- maximum likelihood
- order statistic
- Rényi entropy
MSC
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