Finding a compound weibull distribution

Abstract

This study has proposed a new distribution based on the three Weibull distributions, which is called Weibull combined distribution. The real data was collected from the Department of Radiology at the General Hospital, Mahayil, Kingdom of Saudi Arabia. A combination parameter (η), which represents the percentage of each one of these three distributions in the new combined distribution using real values of the merged parameter and all probability functions for the new distribution. The study has found more flexibility when the merged parameter is at 0.60.