Parameter estimation of Weibull distribution on type III censored survival data by maximum likelihood estimator method: Case study of lung cancer patient data at Dr. Kariadi Hospital Semarang

Abstract

Research on survival data is quite important. Many modeling problems can be made related to survival data. One of the survival data methods is the Type III Censored method, which is a type of censoring that is limited by time, with individuals entering the study at different times during a certain period of time. In this study, the research focus is to obtain point estimates of the Weibull distribution parameters using the Maximum Likelihood Estimator method. The method is used to examine the survival data of Weibull distribution censored type III on secondary data of patients with lung cancer at Dr. Kariadi Hospital Semarang. Based on the results of the analysis, the Weibull distribution with a point estimator for the scale parameter is α̂ = 94.875997 and the shape parameter is β̂ = 1.638958.