Journal of Al-Qadisiyah for Computer Science and Mathematics,
2010, Volume 2, Issue 2, Pages 1-28
AbstractThe 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
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