Transmuted Unit Exponentiated Half-Logistic Distribution and its Applications

A novel distribution, termed the transmuted unit exponentiated half-logistic distribution, has been proposed using the unit exponential half-logistic distribution, a member of the proportional hazard rate model family, as the base distribution. The statistical characteristics of the proposed distribution, including moments, moment-generating function, quantile function, and stress-strength reliability, have been thoroughly examined in this study. The maximum likelihood estimation method has been discussed for statistical inference of the distribution parameters. A simulation study based on the new distribution has been conducted to investigate the behavior of maximum likelihood estimates under various conditions. In addition, a numerical example has been presented to illustrate the performance of the distribution on a failure-time dataset.