Geodesic
A new three-parameter exponential distribution with applications in reliability and engineering
Aldahlan, Maha A.1 ; Afify, Ahmed Z.2
1 Department of Statistics, College of Science, University of Jeddah, Jeddah, Saudi Arabia
2 Department of Statistics, Mathematics and Insurance, Benha University, Egypt
Journal of nonlinear sciences and its applications, Tome 13 (2020) no. 5, p. 258-269.

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

We introduce a new three-parameter model called the odd inverse Pareto exponential distribution which extends the exponential distribution and provides constant, decreasing, increasing, decreasing-increasing, upside-down bathtub and bathtub failure rate shapes. Some of its mathematical properties are derived. The maximum likelihood method is used to estimate the model parameters. The proposed model provides better fits over some existing distributions by means of two real data sets.
DOI : 10.22436/jnsa.013.05.03
Classification : 62E10, 60E05
Keywords: Exponential distribution, generating function, inverse Pareto-G family, maximum likelihood, order statistics

Aldahlan, Maha A. 1 ; Afify, Ahmed Z. 2

1 Department of Statistics, College of Science, University of Jeddah, Jeddah, Saudi Arabia
2 Department of Statistics, Mathematics and Insurance, Benha University, Egypt 
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Aldahlan, Maha A.; Afify, Ahmed Z. A new three-parameter exponential distribution with applications in reliability and engineering. Journal of nonlinear sciences and its applications, Tome 13 (2020) no. 5, p. 258-269. doi : 10.22436/jnsa.013.05.03. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.013.05.03/

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