Pareto type I distribution
                                                        
                                                                                                            
                                                            reliability function
                                                        
                                                                                                            
                                                            bayes method
                                                        
                                                                                                            
                                                            double prior distributions (chi-gamma square distribution. gamma- erlang distribution
                                                        
                                                                                                            
                                                            erlang exponential distribution
                                                        
                                                                                                            
                                                            the squared error loss function.
                                                        
                                                                                                                                                                                                                                                                                                            
                                                            توزيع باريتو من النوع الاول
                                                        
                                                                                                            
                                                            دالة المعولية
                                                        
                                                                                                            
                                                            طريقة بيز
                                                        
                                                                                                            
                                                            الدوال المعلوماتية المضاعفة : توزيع مربع كاي- كاما
                                                        
                                                                                                            
                                                            
                                                        
                                                                                                            
                                                            توزيع   كاما - ارلنك
                                                        
                                                                                                            
                                                            التوزيع ارلنك- الاسي
                                                        
                                                                                                            
                                                            دالة الخسارة التربيعية.
                                                        
                                                                                                                                                                                         
                                                                        
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                                        The comparison of double informative priors which are assumed for the reliability function of Pareto type I distribution. To estimate the reliability function of Pareto type I distribution by using Bayes estimation, will be  used two different kind of information in the Bayes estimation; two different priors have been selected for the parameter of Pareto  type I distribution . Assuming distribution of three double prior’s chi- gamma squared distribution, gamma - erlang distribution, and erlang- exponential distribution as double priors. The results of the derivaties of these estimators under the squared error loss function with two different double priors. Using the simulation technique, to compare the performance for
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