Comparing parameters and Reliability of two-parameters exponential
DOI:
https://doi.org/10.33095/jeas.v21i84.709Keywords:
التوزيع الأسي ذي المعلمتين , معلمة قياس) ), معلمة موقع (µ) , معلمة المعولية (R) , التقدير بطريقة العزوم (MOM) , التقدير بطريقة الإمكان الأعظم (MLE) , الجانب التجريبي متوسط مربعات الخطأ ., Two parameter exponential , scale parameter ( ), location parameter ( ), Reliability function (R) , ( ) Moments estimator of . ( ) Maximum Likelihood estimator . ( , ) parameter of Reliability estimator . Simulation experiment n=10,25,50,75,100Abstract
One of the most important problems in the statistical inference is estimating parameters and Reliability parameter and also interval estimation , and testing hypothesis . estimating two parameters of exponential distribution and also reliability parameter in a stress-strength model.
This parameter deals with estimating the scale parameter and the Location parameter µ , of two exponential distribution ,using moments estimator and maximum likelihood estimator , also we estimate the parameter R=pr(x>y), where x,y are two- parameter independent exponential random variables .
Statistical properties of this distribution and its properties is studied , and simulation procedure is used to find estimators using four set of initial values of parameters were found ) for different sample size (n=10,25,50,75,100) L=500 , and the results are compared using mean square error offer that the parameter R is also estimated and compared using MSE . the results are explained in tables
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