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The secretary problem with an unknown number of candidates
Published online by Cambridge University Press: 14 July 2016
Abstract
When the number of candidates is unknown, the problem of selecting the best during a sequence of interviews has many reasonable solutions. A simple condition for admissibility is established and it is shown that the class of Bayes solutions obtained by treating the number of candidates as a random variable is by no means complete. On the other hand, there is a single improper prior distribution for which the extended Bayes solutions constitute the whole family of admissible procedures.
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- Copyright © Applied Probability Trust 1982
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