Work

Fitting right-skewed mechanical, medical, and geological data sets by a novel statistical model

Year: 2026

Type: article

Abstract: Modern datasets often exhibit high skewness and non-monotonic hazard rate patterns. These features reveal a gap in many traditional distributions, which struggle to model such behavior accurately. This study introduces the inverse power Akshaya distribution (IPAkD) to address this limitation. The IPAkD is developed using the inverse power transformation and provides greater flexibility for modeling right-skewed data. It has closed-form probability density function and cumulative distribution function expressions, and its hazard rate can capture an upside-down bathtub-shaped pattern. Key properties such as moments, extropy, and order statistics are also presented. The model parameters were estimated using several methods. The IPAkD was applied to seven right-skewed real datasets and compared with twelve existing models using twelve evaluation measures. The findings show that the IPAkD offers a better fit and stronger practical performance, filling an important gap in modeling complex right-skewed datasets.

Source: Ain Shams Engineering Journal

DOI: 10.1016/j.asej.2025.103926