Preservation of some stochastic orders by order statistics

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Show simple item record Lillo Rodríguez, Rosa Elvira Nanda, Asok K. Shaked, Moshe
dc.contributor.editor Universidad Carlos III de Madrid. Departamento de Estadística 2010-12-27T09:13:59Z 2010-12-27T09:13:59Z 2000-02
dc.description.abstract We show that the order statistics, in a sample from a distribution that has a logconcave density function, are ordered in the up shifted likelihood ratio order.We also show that the order statistics from two different collections of random variables are ordered in the up shifted likelihood ratio order or in the regular likelihood ratio order, if the underlying random variables are so ordered. Some results about the down shifted likelihood ratio order are also included in this paper. Finally it is indicated how the results can be applied in reliability theory
dc.format.mimetype application/octet-stream
dc.format.mimetype application/octet-stream
dc.format.mimetype application/pdf
dc.language.iso eng
dc.relation.ispartofseries UC3M Working papers. Statistics and Econometrics
dc.relation.ispartofseries 00-14
dc.rights Atribución-NoComercial-SinDerivadas 3.0 España
dc.subject.other Likelihood ratio order
dc.subject.other DFR
dc.subject.other Equilibrium rate
dc.subject.other Logconcave and logconvex densities
dc.subject.other K-out-of-n reliability systems
dc.title Preservation of some stochastic orders by order statistics
dc.type workingPaper
dc.subject.eciencia Estadística
dc.rights.accessRights openAccess
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