omparison of the maximum potential and least squares methods for estimating the survival function for the new modified Pure triangular distribution (simulation study)

Abstract

In this paper , the comparison was made between the methods greatest possibility and least squares to estimate the survival function of the new modified burr iii distribution (NMBIII) , where the simulation method was used to compare the to methods using the (Mathematica 13) program, as a number of cases were assumed for the parameters and a number of the two methods sample sizes, where the statistical scale (IMSE) was used to find out which were better in estimation, and the results showed the preference of the method of greatest possibility on ordinary least squares .