التقدير البيزي لمعلمة توزيع زمن الحياة تحت دالة خسارة مركبة مع تحديد حجم عينة الامثل

Abstract EN

This research aims to find Bayes estimator under symmetric and asymmetric two loss functions, such as the squared Log error loss function and entropy loss function, as well as a loss function that combines these two functions.

It's called compound loss function, which is asymmetric in nature.

A comparison of the Bayes estimators for scale parameter of Life-Time distribution, which includes a collection of known distributions under the compound proposed loss function, and its contained loss functions as well as the estimation of optimal sample size.

Using a mean square error criterion (MSE), where the generation of the random data using the simulation for estimate Weibull distribution parameters that represents a special case of Life-Time distribution different sample sizes (n=10,50,100) and (N=1000), taking initial values for the parametersα0 ,β0 , to get to the balanced estimator that add between two loss functions.