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

• DOI: 10.1016/j.jrras.2024.101045
• Publication Date: 2024-08-03T19:07:10Z
• Authors: Ibrahim E. Ragab; Hanita Daud; Ahmad Abubakar Su...; Najwan Alsadat; Vasili B.V. Nagar...; Mohammed Elgarhy

This study introduces a novel three-parameter time distribution called Type II Topp-Leone exponentiated gamma (TIITL-EG) distribution. 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, order statistics are computed. Model parameters estimated using the maximum likelihood method. Finally, we demonstrate use of this through real data application, highlighting its versatility.