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On a stress – strength model in Burr of type III

METRON - International Journal of Statistics • 2007
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Publication Information
Authors AHMED IBRAHIM SHAWKY – FAWZIAH HASSAN AL-KASHKARI
Keywords KeyWords - Bayesian estimator; Maximumlikelihood estimator; Uniformly minimum variance unbiased estimator; Stress-strength model; Burr type III distribution.
Journal METRON - International Journal of Statistics
Publisher Not Available
Volume LXV
Issue 3
Pages 371-385
publication.type International
Paper Link Not Available
Supplementary Materials Not Available
Abstract
Summary - In this paper three estimators for the reliability function P(Y < X) (MLE,
UMVUE and Bayes estimator) are given when Xand Y are two independent but not
identically distributed Burr of type III random variables. Also two sided confidence
interval for R is obtained. Simulation studies are used to assess the accuracy of the
estimation.