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Probabilities of Choosing Applicants of Arbitrary Rank in the Secretary Problem

Peter A. Rogerson
Journal of Applied Probability
Vol. 24, No. 2 (Jun., 1987), pp. 527-533
DOI: 10.2307/3214276
Stable URL: http://www.jstor.org/stable/3214276
Page Count: 7
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Probabilities of Choosing Applicants of Arbitrary Rank in the Secretary Problem
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Abstract

Gilbert and Mosteller (1966) derive the probability of obtaining the best secretary when a fixed number of potential employees of varying quality are interviewed sequentially by an employer. This paper extends these results by deriving the probability of selecting an applicant of arbitrary rank under a variety of circumstances concerning the objective of employers and the amount of information employers have about applicant quality.

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