Estimate for Survival and Related Functions of Weighted Rayleigh Distribution.

Abstract

In this paper, we introduce a new class of Weighted Rayleigh Distribution based on twoparameters, one is the scale parameter and the other is the shape parameter introduced inRayleigh distribution. The main properties of this class are derived and investigated[13]. Themoment method and least square method are used to obtain estimators of parameters of thisdistribution. The probability density function, survival function, cumulative distribution andhazard function are derived and found. Real data sets are collected to investigate two methodsthat depend on in this study. A comparison is made between two methods of estimation andclarifies that MLE method is better than the OLS method by using the mean squares error.