A New Modification of Modified Weibull Distribution for Modeling Engineering Data

This study investigates a novel modification for a modified Weibull distribution called the new modification of modified Weibull distribution. Some distributions related to the NMMWD are given. Some characterization of the NMMWD, including quantiles, Bowley skewness, Moors kurtosis, and moments, are given in closed forms. The hazard rate function of the new distribution takes two distinct shapes, the increasing and the bathtub shapes. Different estimating approaches are investigated utilizing complete data. Three real data sets from the engineering field are analyzed to demonstrate the suggested model’s flexibility in practice. In comparison to certain well-known distributions, the proposed distribution fits the tested data better according to both parametric and non-parametric tests. A simulation study is presented to compare the various estimating approaches using mean square error and average absolute bias.