The secretary problem with an unknown number of candidates
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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.
1982 ◽
Vol 19
(03)
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pp. 619-630
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1992 ◽
Vol 12
(1)
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pp. 85-94
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2021 ◽
Vol 65
(4)
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pp. 853-902
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1999 ◽
Vol 173
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pp. 249-254
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1969 ◽
Vol 27
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pp. 6-7
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1980 ◽
Vol 38
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pp. 30-33
2005 ◽
Vol 19
(3)
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pp. 129-132
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