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Limiting behavior of the search cost distribution for the move-to-front rule in the stable case

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dc.affiliation.dptoUC3M. Departamento de Estadísticaes
dc.contributor.authorLeisen, Fabrizio
dc.contributor.authorLijoi, Antonio
dc.contributor.authorParoissin, Christian
dc.contributor.editorUniversidad Carlos III de Madrid. Departamento de Estadística
dc.date.accessioned2011-09-20T10:17:30Z
dc.date.available2011-09-20T10:17:30Z
dc.date.issued2011-07
dc.description.abstractMove-to-front rule is a heuristic updating a list of n items according to requests. Items are required with unknown probabilities (or popularities). The induced Markov chain is known to be ergodic. One main problem is the study of the distribution of the search cost defined as the position of the required item. Here we first establish the link between two recent papers of Barrera and Paroissin and Lijoi and Pruenster that both extend results proved by Kingman on the expected stationary search cost. Combining results contained in these papers, we obtain the limiting behavior for any moments of the stationary seach cost as n tends to infinity.
dc.format.mimetypeapplication/pdf
dc.identifier.repecws112922
dc.identifier.urihttps://hdl.handle.net/10016/12114
dc.identifier.uxxiDT/0000000944
dc.language.isoeng
dc.relation.ispartofseriesUC3M Working papers. Statistics and Econometrics
dc.relation.ispartofseries11-22
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 España
dc.rights.accessRightsopen access
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject.ecienciaEstadística
dc.subject.otherNormalized random measure
dc.subject.otherRandom discrete distribution
dc.subject.otherStable subordinator
dc.subject.otherProblem of heaps
dc.titleLimiting behavior of the search cost distribution for the move-to-front rule in the stable case
dc.typeworking paper*
dc.type.hasVersionSMUR*
dspace.entity.typePublication
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