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Minimax-optimal stop rules and distributions in secretary problems

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Publication:756847
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DOI10.1214/AOP/1176990548zbMath0723.60043OpenAlexW2018546894MaRDI QIDQ756847

Theodore P. Hill, Ulrich Krengel

Publication date: 1991

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1176990548


zbMATH Keywords

stopping timesminimax-optimal secretary problemunknown number of options


Mathematics Subject Classification ID

2-person games (91A05) Stopping times; optimal stopping problems; gambling theory (60G40)


Related Items (9)

The best-choice secretary problem with random freeze on jobs ⋮ An application of prophet regions to optimal stopping with a random number of observations ⋮ Minimax stopping times for I.I.D. Random variables ⋮ Games of stopping with infinite horizon ⋮ On the game of googol ⋮ Moment-based minimax stopping functions for sequences of random variables ⋮ Optimal Stopping Problem with Controlled Recall ⋮ Minimax strategies for discounted ?secretary problems? with interview costs ⋮ The best choice problem with random arrivals: how to beat the \(1 / e\)-strategy







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