A new strategy for Robbins' problem of optimal stopping

In this article we study the expected rank problem under full information. Our approach uses the planar Poisson approach from Gnedin (2007) to derive the expected rank of a stopping rule that is one of the simplest non-trivial examples combining rank dependent rules with threshold rules. This rule a...

Ausführliche Beschreibung

Bibliographische Detailangaben
Link(s) zu Dokument(en):IHS Publikation
Hauptverfasser: Meier, Martin, Sögner, Leopold
Format: Article in Academic Journal PeerReviewed
Sprache:Englisch
Veröffentlicht: Cambridge University Press 2017
Beschreibung
Zusammenfassung:In this article we study the expected rank problem under full information. Our approach uses the planar Poisson approach from Gnedin (2007) to derive the expected rank of a stopping rule that is one of the simplest non-trivial examples combining rank dependent rules with threshold rules. This rule attains an expected rank lower than the best upper bounds obtained in the literature so far, in particular we obtain an expected rank of 2.32614.