Preservation of some stochastic orders by order statistics

Lillo Rodríguez, Rosa Elvira; Nanda, Asok K.; Shaked, Moshe

Publication:
Preservation of some stochastic orders by order statistics

dc.affiliation.dpto	UC3M. Departamento de Estadística	es
dc.contributor.author	Lillo Rodríguez, Rosa Elvira
dc.contributor.author	Nanda, Asok K.
dc.contributor.author	Shaked, Moshe
dc.contributor.editor	Universidad Carlos III de Madrid. Departamento de Estadística	es
dc.date.accessioned	2010-12-27T09:13:59Z
dc.date.available	2010-12-27T09:13:59Z
dc.date.issued	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	es
dc.format.mimetype	application/octet-stream
dc.format.mimetype	application/octet-stream
dc.format.mimetype	application/pdf
dc.identifier.uri	https://hdl.handle.net/10016/9862
dc.language.iso	eng	es
dc.relation.ispartofseries	UC3M Working papers. Statistics and Econometrics	es
dc.relation.ispartofseries	00-14	es
dc.rights	Atribución-NoComercial-SinDerivadas 3.0 España
dc.rights.accessRights	open access
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject.eciencia	Estadística	es
dc.subject.other	Likelihood ratio order	es
dc.subject.other	DFR	es
dc.subject.other	Equilibrium rate	es
dc.subject.other	Logconcave and logconvex densities	es
dc.subject.other	K-out-of-n reliability systems	es
dc.title	Preservation of some stochastic orders by order statistics	es
dc.type	working paper	*
dspace.entity.type	Publication