مقارنة طرائق تقدير معلومات ومعولية التوزيع الاسي المختلط باستخدام المحاكاة

Abstract

The purpose of this research is to estimate the reliability of the mixture
of two exponential distributions for two subpopulations we use the
Bayesian estimate method for the failure times in two kinds of
population, one of them each unit of sample is belong to some population
while in the second population there in formation is not available, when
the unit belong for the first population we estimate reliability by Bayes
method , while for the second population we apply maximum likelihood
method to estimate reliability .
The experimental comparison was done by simulation procedure. Several
experiments using the important statistical measure which is the mean
square error (MSE). The method of direct search method, are used for
finding MLE. Then these two important methods are used to estimate the
reliability function for mixed exponential model. All the results of
simulation are explained by tables.