Estimate survival function for the brain cancer disease by using three parameters weibull distribution

Abstract EN

In this research deriving and finding the survival probability function, hazard probability function and failure (death) probability function for three – parameters Weibull distribution of the brain cancer in complete data.

To satisfying that estimating all parameters (shape, scale and location) using two classical methods (MLE method and OLS method) to find the survival function.

Depending on sample from real data which describe the duration of survivor for patients who suffer from the brain cancer based on diagnosis of disease or the enter of patients in a hospital for period 1 / 1/ 2009 until 31 / 12 / 2009 .Calculating and estimating all previous probabilities functions, then comparing the numerical results by using the mean squares error measure to survival probability function, reaching that the survival function for the brain cancer by using maximum likelihood method MLE is the best.