Saraçoğlu, BuğraKaya, Mehmet Fedai2017-01-132017-01-132007Saraçoğlu, B., Kaya, M. F. (2007). Maximum likelihood estimation and confidence intervals of system reliability for Gompertz distribution in stress-strength models. Selcuk Journal of Applied Mathematics, 8 (2), 25-36.1302-7980https://hdl.handle.net/20.500.12395/3845http://sjam.selcuk.edu.tr/sjam/article/view/188A stress-strength model defines life of a component which has strength X and is subjected to stress Y. In this paper, we consider the estimation problem of R=P(Y<X) when X ~ Gompertz(c,??) and Y ~ Gompertz(c,??) are independent with c known. R can be considered to be the reliability of a system and is known to be stress-strength reliability. The maximum likelihood estimate of R is derived and various distributional properties of this estimator is discussed. Exact and asymptotic confidence intervals for R are constructed. Also a simulation study is performed to investigate the coverage probabilities of these intervals.eninfo:eu-repo/semantics/openAccessGüven aralığıConfidence intervalMaksimum olasılık tahminiMaximum likelihood estimationMinimum varyanslı yansız tahminMinimum variance unbiased estimationGompertz dağıtımıGompertz distributionGerilme direnci güvenilirliğiStress-strength reliabilityKapsama olasılığıCoverage probabilityArticle82536