Maximum likelihood estimation and confidence intervals of system reliability for Gompertz distribution in stress-strength models

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dc.contributor.authorSaraçoğlu, Buğra
dc.contributor.authorKaya, Mehmet Fedai
dc.date.accessioned2017-01-13T08:06:51Z
dc.date.available2017-01-13T08:06:51Z
dc.date.issued2007
dc.descriptionhttp://sjam.selcuk.edu.tr/sjam/article/view/188en_US
dc.description.abstractA 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.en_US
dc.identifier.citationSaraçoğlu, 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.en_US
dc.identifier.endpage36
dc.identifier.issn1302-7980en_US
dc.identifier.startpage25
dc.identifier.urihttps://hdl.handle.net/20.500.12395/3845
dc.identifier.volume8
dc.language.isoenen_US
dc.publisherSelcuk University Research Center of Applied Mathematicsen_US
dc.relation.ispartofSelcuk Journal of Applied Mathematicsen_US
dc.relation.publicationcategoryMakale - Kategori Belirleneceken_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.selcuk20240510_oaigen_US
dc.subjectGüven aralığıen_US
dc.subjectConfidence intervalen_US
dc.subjectMaksimum olasılık tahminien_US
dc.subjectMaximum likelihood estimationen_US
dc.subjectMinimum varyanslı yansız tahminen_US
dc.subjectMinimum variance unbiased estimationen_US
dc.subjectGompertz dağıtımıen_US
dc.subjectGompertz distributionen_US
dc.subjectGerilme direnci güvenilirliğien_US
dc.subjectStress-strength reliabilityen_US
dc.subjectKapsama olasılığıen_US
dc.subjectCoverage probabilityen_US
dc.titleMaximum likelihood estimation and confidence intervals of system reliability for Gompertz distribution in stress-strength modelsen_US
dc.typeArticleen_US

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