مقارنة أسلوب بيز مع طرائق اخرى لتقدير دالة معولية توزيع كاما ذي المعلمتين في حالة البيانات التامة

Abstract EN

The research studies the Two Parameters Gamma Distribution, which is considered one of the most important, applicable and widely used distributions in the reliability realm and Survival Theory.

It is mostly used as a model to distribute the failure times of the electrical, mechanical and electromechanical systems.

The standard Bayes estimator has been derivation to Reliability function when the shape parameter is known and compare it with Maximum Likelihood method , Uniformly Minimum Variance Unbiased Estimator and Shrinkage method .By using simulation and Monte Carlo way or approach , and made many experiences by using the most important estimator the Mean Square Error (MSE) .

All this lead and in general to (Bayse1) Bayse method when it is (c = 1) is the best way to estimate the Reliability function , because its possession or acquisition of the lowest or less Integration Mean Square Error (IMSE) , in comparing with other methods .