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Contribution to the optimal stopping problem

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Publication:3218872
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DOI10.1007/BF00531865zbMath0555.60029MaRDI QIDQ3218872

Donald A. Darling

Publication date: 1985

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)


zbMATH Keywords

optimal stopping problemfinite stopping times


Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Stopping times; optimal stopping problems; gambling theory (60G40) Optimal stopping in statistics (62L15)


Related Items (1)

Explicit optimal value for Dynkin's stopping game



Cites Work

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  • Properties of optimal extended-valued stopping rules for S\(_n\)/n
  • On optimal stopping rules for \(s_ n /n\)
  • Moments of random walk having infinite variance and the e istence of certain optimal stopping rules for \(S_n/n\)
  • Inequalities for the $r$th Absolute Moment of a Sum of Random Variables, $1 \leqq r \leqq 2$
  • On optimal stopping rules
  • Optimal Stopping in a Markov Process
  • Stopping rules for S n/n, and the Class L log L
  • On the Supremum of $S_n/n$
  • On the Existence of the Optimal Stopping Rule in the $S_n/n$ Problem When the Second Moment is Infinite


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