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Optimal selection of the four best of a sequence
Authors:Aarni Lehtinen
Institution:(1) Department of Mathematics, University of Jyväskylä, Seminaarinkatu 15, 40100 Jyväskylä, Finland
Abstract:We consider the situation in which the decision-maker is allowed to have four choices with purpose to choose exactly the four absolute best candidates fromN applicants. The optimal stopping rule and the maximum probability of making the right choice are given for largeNisinN, the maximum asymptotic value of the best choice being lim Nrarrinfin P(win)ap0.12706.
Keywords:secretary problem  optimal stopping rule  multi-choice problem
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