A new extension of power Zeghdoudi distribution with applications to engineering and radiation data

In this study, we introduce a novel extension of the power Zeghdoudi distribution, called the half-logistic power Zeghdoudi distribution. The new model exhibits desirable statistical features, such as right skewness, reduced and unimodal probability density functions, skewness, kurtosis moments, incomplete moments, and order statistics in modeling diverse data shapes. Parameter estimation is conducted using the maximum likelihood method, supported by a comprehensive simulation study. The practical utility of the half-logistic power Zeghdoudi distribution is further validated through applications to real-life engineering and radiation data sets. The results reveal that the half-logistic power Zeghdoudi distribution offers a superior fit compared to several existing lifetime models, confirming its potential in reliability and survival analysis.