مقارنة بين الطرائق الاعتيادية والبيزية لتقدير معلمة الشكل ودالة المعوليه لتوزيع بور نوع X او توزيع رآلي الأسي ذي المعلمتين تحت دوال خسارة مختلفة

Abstract

The paper deals with estimation shape parameter of Burr distribution type X (which also called two parameter exponential Rayleigh).The methods of estimation are Maximum likelihood method and percentiles estimator (PER), as well as Bayesian estimator using Jeffery's prior distribution. The Bayes estimator of shape parameter (θ) is conducted using different loss function, like squared error loss function and also precautionary loss function. The comparison is done using statistical Measures Mean Square error (MSE) take different sample size (n=15,30,50,100) and different set of initial values for (θ,λ) Keywords: Burr type X distribution, Maximum likelihood estimator, Percentiles Estimator, Bayes estimator, Mean squared error.