Comparison between some well- Known methods to estimate the parameter of the proposed method of measurement and the reliability of the distribution function with two parameters Rally by simulation
DOI:
https://doi.org/10.33095/jeas.v19i71.879Keywords:
طريقة الامكان الاعظم- مقدر بيز – مقدر بيز المطور, / Maimum Like lihood Method- Bayes Estimator- Bayes developer estimator- Minimax estimatorAbstract
Abstract
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. All the results of comparisons are explained in tables, and the comparison is done using MSE.
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