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The hiring problem with rank-based strategies
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Analysis and Probability Theory.
2019 (English)In: Electronic Journal of Probability, ISSN 1083-6489, E-ISSN 1083-6489, Vol. 24, article id 125Article in journal (Refereed) Published
Abstract [en]

The hiring problem is studied for general strategies based only on the relative ranking of the candidates; this includes some well known strategies studied before such as hiring above the median. We give general limit theorems for the number of hired candidates and some other properties, extending previous results. The results exhibit a dichotomy between two classes of rank-based strategies: either the asymptotics of the process are determined by the early events, with a.s. convergence of suitably normalized random variables, or there is a mixing behaviour without long-term memory and with asymptotic normality.

Place, publisher, year, edition, pages
UNIV WASHINGTON, DEPT MATHEMATICS , 2019. Vol. 24, article id 125
Keywords [en]
hiring problem, multiple secretary problem, hiring above median
National Category
Probability Theory and Statistics
Identifiers
URN: urn:nbn:se:uu:diva-397597DOI: 10.1214/19-EJP382ISI: 000495430200001OAI: oai:DiVA.org:uu-397597DiVA, id: diva2:1372228
Funder
Knut and Alice Wallenberg FoundationAvailable from: 2019-11-22 Created: 2019-11-22 Last updated: 2019-11-22Bibliographically approved

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