Shiha Distribution: Statistical Properties and Applications to Reliability Engineering and Environmental Data
This study addresses the challenge posed by lifetime data that often exhibit skewness and heavy- or light-tailed characteristics, for which existing distributional models lack both flexibility and analytical tractability. To bridge this gap, the authors propose a novel two-parameter Shiha distribution and systematically derive its key statistical properties, including the moment-generating function, quantile function, entropy, and stress-strength reliability—providing, for the first time, a closed-form expression for the latter. Through comprehensive Monte Carlo simulations and empirical analyses of multiple real-world lifetime datasets, the Shiha distribution demonstrates superior fitting accuracy and model adaptability compared to established distributions, highlighting its practical utility and modeling advantages in reliability engineering and environmental science.