Comparison of some survival uniform exponential Weibull distribution estimate methods

Abstract

The primary aim of this study is to determine which estimation method is most effective in estimating parameters for the newly proposed survival uniform exponential Weibull distribution of(SU-EW). This will be achieved through a comparison of various estimation methods, including maximum likelihood, least squares, maximum product distance, and Method of Percentiles Estimators. In order to compare estimation methods based on the standard mean square error (MSE) of the parameters (n = 25, 50, 100, 150), Monte Carlo simulations were conducted with varying sample sizes. As determined by the simulation outcomes, the partial estimators (PE) method provided the most accurate estimates across all sample sizes, with the (MLE) method coming in second.