10 months ago
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Mathematics, Vol. 11, Pages 3001: The Chen–Perks Distribution: Properties and Reliability Applications
Mathematics doi: 10.3390/math11133001
Authors: Luis Carlos Méndez-González Luis Alberto Rodríguez-Picón Manuel Iván Rodríguez Borbón Hansuk Sohn
In this paper, a statistical distribution is presented that possesses the ability to describe failure rates exhibiting both monotonic and non-monotonic behaviors, and the bathtub curve, which represents the performance of a device in reliability engineering. The proposed distribution is based on the sum of the hazard functions of the Chen distribution and the Perks distribution, thus presenting the Chen–Perks distribution (CPD). Statistical properties of the CPD focused on reliability engineering are presented to make the model attractive to practitioners of the discipline. The parameters of the CPD were calculated via the maximum likelihood estimator. On the other hand, a comparative analysis was conducted in three study cases to determine the behavior of the CPD relative to other distributions that can describe failure times with the shape of a bathtub curve. The results show that the CPD can offer competitive results, which practitioners can consider when conducting reliability analysis.
