A new three-parameter exponential distribution with applications in reliability and engineering

Volume 13, Issue 5, pp 258--269 http://dx.doi.org/10.22436/jnsa.013.05.03

Publication Date: March 08, 2020 Submission Date: January 07, 2020 Revision Date: February 01, 2020 Accteptance Date: February 05, 2020

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Authors

Maha A. Aldahlan - Department of Statistics, College of Science, University of Jeddah, Jeddah, Saudi Arabia. Ahmed Z. Afify - Department of Statistics, Mathematics and Insurance, Benha University, Egypt.

Abstract

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.

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Keywords

• Exponential distribution
• generating function
• inverse Pareto-G family
• maximum likelihood
• order statistics

MSC

•  62E10
•  60E05

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