ON ESTIMATION OF STRESS STRENGTH MODEL FOR GENERALIZED INVERTED EXPONENTIAL DISTRIBUTION

  • Mohamed A. Hussian Department of Mathematical Statistics, Institute of Statistical Studies and Research (ISSR), Cairo University, Egypt
Keywords: Generalized Exponential Distribution, System Reliability, Stress-Strength, Bayes, Maximum Likelihood

Abstract

In this paper, the estimation of R=Pr(Y < Y), when X and Y are two generalized inverted exponential distributions with different parameters is considered. The maximum likelihood estimator (MLE) of R and its asymptotic distribution are obtained. Exact and asymptotic confidence intervals of R are constructed using both exact and asymptotic distributions. Assuming that the common scale parameter is known, MLE, Bayes estimators and confidence intervals of R are investigated. Bayes estimators are based on informative and noninformative priors of the unknown parameters. Monte Carlo simulations are performed to compare and to validate the different proposed estimators.

 

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Published
2013-04-16
Section
Articles