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Estimating the Reliability of the General Linear Failure 20 Distribution Using Simulation

تقدير معوليه توزيع الفشل الخطي العام باستخدام المحاكاة

Amal S. Atta امل صادق عطا --- Nasser M. Abbas نصیر مالك عباس

Engineering and Technology Journal مجلة الهندسة والتكنولوجيا
ISSN: 16816900 24120758 Year: 2014 Volume: 32 Issue: 1 Part (A) Engineering Pages: 1-18
Publisher: University of Technology الجامعة التكنولوجية

Abstract

This paper deals with estimating parameters and reliability function for the general linear failure rate distribution, which is an important probability distribution for studying the time to failure for machines and equipment. The parameters of location ( ), and scale parameter ( ), were estimated, while the shape parameter ( ) considered known. Three statistical methods are used for estimation which include maximum likelihood method, least square method, and proposed method including finding a mixed distribution, from using maximum likelihood and lest square estimator with proportion ( ), (1− ). The comparison between estimators has been done through simulation procedure using differentsample size like ( =15,30,50,75,100), and each experiment is replicated( =1000). The comparison done using the statistical measure mean square error (MSE), all results of comparison were represented in Tables.

Keywords

Mean Square Error --- MSE --- Scale Parameter --- location parameter --- shape parameter --- the simulation.