A lifetime distribution motivated by parallel and series structures

M. Goldoust, S. Rezaei, Y. Si and S. Nadarajah

Communications in Statistics - Theory and Methods, 2018, vol. 47, issue 13, 3052-3072

Abstract: A new three-parameter distribution with decreasing, increasing, and bathtub-shaped hazard rates obtained by compounding geometric, power series, and exponential distributions is introduced. It includes some well-known distributions as particular cases. Various mathematical properties of the new distribution as well as details of the maximum likelihood estimation and a sensitivity analysis for its parameters are presented. Finally, two real data applications are presented.

Date: 2018
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DOI: 10.1080/03610926.2017.1346802

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