Length-Biased MGAMMA Distribution: Statistical Properties and Cancer Data Application

Abstract

In this study, we propose the length-biased MGAMMA distribution for analyzing lifetime data. We obtain its main mathematical properties and compute the parameter estimates using the maximum likelihood method. The model is then applied to real cancer survival data, and the results show that it provides a better fit than several other lifetime models. Overall, the length-biased Mgamma distribution proves to be a practical and flexible option for survival data analysis.