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Please use this identifier to cite or link to this item: https://research.matf.bg.ac.rs/handle/123456789/170
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dc.contributor.authorObradović, Markoen_US
dc.contributor.authorJovanović, Milanen_US
dc.contributor.authorMilošević, Bojanaen_US
dc.contributor.authorJevremović, Vesnaen_US
dc.date.accessioned2022-08-06T16:46:17Z-
dc.date.available2022-08-06T16:46:17Z-
dc.date.issued2015-01-01-
dc.identifier.urihttps://research.matf.bg.ac.rs/handle/123456789/170-
dc.description.abstractIn this paper we estimate R = P{X ≤ Y} when X and Y are independent random variables from geometric and Poisson distribution respectively. We find maximum likelihood estimator of R and its asymptotic distribution. This asymptotic distribution is used to construct asymptotic confidence intervals. A procedure for deriving bootstrap confidence intervals is presented. UMVUE of R and UMVUE of its variance are derived and also the Bayes estimator of R for conjugate prior distributions is obtained. Finally, we perform a simulation study in order to compare these estimators.en
dc.relation.ispartofHacettepe Journal of Mathematics and Statisticsen
dc.subjectBayes estimatoren
dc.subjectBootstrap confidence intervalsen
dc.subjectGeometric distributionen
dc.subjectMaximum likelihood estimatoren
dc.subjectPoisson distributionen
dc.subjectStress-strengthen
dc.subjectUMVUEen
dc.titleEstimation of P{X ≤ Y} for geometric-poisson modelen_US
dc.typeArticleen_US
dc.identifier.doi10.15672/HJMS.2014267477-
dc.identifier.scopus2-s2.0-84961626182-
dc.identifier.urlhttps://api.elsevier.com/content/abstract/scopus_id/84961626182-
dc.contributor.affiliationProbability and Mathematical Statisticsen_US
dc.contributor.affiliationProbability and Mathematical Statisticsen_US
dc.contributor.affiliationProbability and Mathematical Statisticsen_US
dc.relation.firstpage949en
dc.relation.lastpage964en
dc.relation.volume44en
dc.relation.issue4en
item.fulltextNo Fulltext-
item.openairetypeArticle-
item.grantfulltextnone-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.cerifentitytypePublications-
crisitem.author.deptProbability and Mathematical Statistics-
crisitem.author.orcid0000-0002-6826-3232-
crisitem.author.orcid0000-0001-5512-0956-
crisitem.author.orcid0000-0001-8243-9794-
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