ON BURR X NON-MIXTURE LONG-TERM SURVIVAL MODEL WITH APPLICATIONS TO MEDICAL DATA

Abstract

In the analysis of lifetime data, it is usually assumed that each and every subject in the study population will experience the event of interest if followed for a long period of time. However, due to improvement in the field of medicine, some subjects stay longer than expected. These subjects are termed long-term survivors. Hence, this study introduces a long-term survivor model based on Burr X distribution. The parameters of the model were estimated the Bayesian estimation procedure. To illustrate the applicability of the introduced methodology, a medical dataset was used fitted and the result compared with that of the model without the proportion of long-term survivors. 

Keywords: Survival model, Long-term survivor model, non-mixture long-term survivor model, Burr X distribution.