This research demonstrates the Poly-Exponential Weibull model's effectiveness in reliability assessment, suggesting its superiority for skewed data.
The objective of this study is to assess the applicability of the three-parameter Poly-Exponential Weibull distribution for modelling the reliability of cement sheath data, specifically based on Vickers hardness measurements (MPa). This research explores the theoretical properties of the Poly-Exponential Weibull distribution, including the derivation of its quantile function, incomplete moments, Rényi and q-entropies, mean deviations, and the Bonferroni and Lorenz curves. Parameter estimation is performed using the method of maximum likelihood. The findings suggest that the Poly-Exponential Weibull model offers a promising alternative to existing models in the literature, particularly for handling highly skewed reliability data.
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Muhammad Shuaib Khan (2025) studied this question.
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