In the prsent study, the experimentor address the right censored data with Bernstein polynomial to describe the risk function and use maximum likelihood to estimate it. In Chiou (2010), who also described cumlative distribution function with Bernstein polynomial, her study displayed more restriction and complicted algorithm. However, in the simulation of the present study, the experimentor compares his way with Kaplan-Meier’s method. It shows that the estimated funciton will be more realistic when there are more samples. Though the experimentor don’t discusss the property of the larger sample size, the simulation can still be correct to certify the hypothesis of the present study.