A New Four Parameter Hybrid of Dhillon-Gompertz lifetime distribution with Bathtub-shaped Failure Rate: Properties and Applications
Usman Umar
Shamsuddeen Suleiman
Faisal Muhammad Amiru
Abstract
This article introduced new four parameter lifetime distribution named Hybrid of Dhillon-Gompertz (HDG) using an additive methodology. Key properties of the model, including the cumulative distribution function, probability density function, failure rate, survival function, quantile function, mode, asymptotic behavior, order statistics, characteristic function moment and moment generating function, were derived. The parameters of the proposed distribution were estimated using the maximum likelihood estimation (MLE) method, and their applicability was tested using two sets of lifetime data. Goodness-of-fit comparison, based on Akaike Information Criterion (AIC), Bayesian Information Criterion (BIC), and Corrected Akaike Information Criterion (AICc), demonstrated the effectiveness of the proposed model. The findings indicate the HDG distribution exhibited superior performance compared to some existing distributions. These results highlight the potential of the proposed distributions to model lifetime data more accurately than existing alternatives. The findings of this study have significant theoretical and practical implications for reliability analysis and lifetime data modeling. The proposed hybrid distribution demonstrated superior performance over existing models, suggesting their potential for more accurate failure rate estimation and risk assessment in engineering, biomedical, and industrial applications.
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