A two-component Perks-Dhillon competing risk model with applications to real data
DOI:
https://doi.org/10.64497/jssci.117Keywords:
bathtub hazard rate, competing risk modeling, Dhillon distribution, increasing-decreasing-increasing hazard rate, Perks distributionAbstract
In this paper, we propose a novel competing risk model, titled the A two-component Perks-Dhillon competing risk (PDCR) model for independent competing risks. The model hybridized one monotone (Perks model) and one non-monotone hazard rate model (Dhillon model). Preliminary graphical results have shown that the model could be adopted for modeling competing risk data characterized by bathtub and increasing-decreasing-increasing behaviors. Some properties of the models, including the quantile function and moments, are presented. The study employed the method of maximum likelihood for estimating the PDCR parameters. Empirically, we demonstrated the flexibility of the PDCR model using competing risk data from engineering reliability investigations. The results suggested that PDCR is a good option for reliability estimation. Hence, it could be considered for different dual-failure causes competing risk studies.
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Copyright (c) 2025 Ibrahim Abdullahi, Aminu Suleiman Mohammed
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