المقارنة بين بعض الطرائق المعروفة و طريقة مقترحة لتقدير معلمة القياس و دالة معولية توزيع رالي ذي المعلمتين بواسطة المحاكاة

الملخص EN

Rayleigh distribution is one of the important distributions used for analysis life time data, and has applications in reliability study and physical interpretations.

This paper introduces four different methods to estimate the scale parameter , and also estimate reliability function; these methods are Maximum Likelihood, and Bayes and Modified Bayes, and Minimax estimator under squared error loss function, for the scale and reliability function of the generalized Rayleigh distribution are obtained.

The comparison is done through simulation procedure, taking various sample size, and varying values of shifting parameter α .

All the results of comparisons are explained in tables, and the comparison is done using MSE.