A Flexible probability model for reliability data: The extended half-normal distribution with further results

DOI: 10.48129/kjs.12615

Abstract

Recent years have shown growth in the potential applications of extensions
of skew and half-normal distributions. In this paper, we provide and study,
in detail, a flexible and extended class of such distributions. The developed
distribution has a scale parameter and two shape parameters. We carry out
a Monte Carlo simulation with Maximum Likelihood Estimation to assess
the performance of this technique for a variety of parameter values. The
power of the distribution is demonstrated with real applications using two
reliability data sets. The results reveal that the proposed distribution can
produce a better fit than several other distributions.