Type II Topp-Leone exponentiated gamma distribution with application to breaking stress data

Abstract

This study introduces a novel three-parameter time distribution called Type II Topp-Leone exponentiated gamma (TIITL-EG) distribution. This new model offers excellent flexibility in handling skewed data. We analyze various mathematical properties such as ordinary moments, moment-generating functions, and conditional moments. Mean residual life, different entropy measures, and order statistics are computed. Model parameters are estimated using the maximum likelihood method. Finally, we demonstrate the use of this model through real data application, highlighting its versatility.