Estimating the Survival Function of Viral Hepatitis Patients in A Sample of Baghdad Hospitals

Most people are exposed to sudden death as a result of viral hepatitis infection, especially at an advanced age, so we need to know the continuation of the disease until death in a sample of hospitals to know the differences in the services provided by those hospitals. The research aims to estimate a function for the Rayleigh distribution (RD) using several methods (maximum likelihood function, White, s, weighted least square) and choose the best method for estimation using the mean square error (MSE) and compare the survival rates of patients admitted to (Al-Kadhimiya, Al-Karkh, and Yarmouk) hospitals, The results of the research showed in the experimental aspect that the maximum likelihood method for all sample sizes is the best, followed by the weighted least squares method and finally the White method. In the applied aspect, on a sample consisting of (63) patients (liver cirrhosis + liver cancer) for the first quarter of 2025, it was found that their survival rate until death is (33%) for a time average of (2) months and (15) days.