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Optimization
A Journal of Mathematical Programming and Operations Research
Volume 53, 2004 - Issue 4
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Original Articles

An application of prophet regions to optimal stopping with a random number of observations

Pieter C. Allaart *View further author information
Pages 331-338 | Received 09 Jan 2003, Accepted 26 Mar 2004, Published online: 22 Aug 2006

References

References

  • Allaart , P and Monticino , M . 2003 . Pseudo-prophet inequalities in average-optimal stopping . Sequential Anal. , 22 : 233 – 239 .
  • Assaf , D , Goldstein , L and Samuel-Cahn , E . 1998 . A statistical version of prophet inequalities . Ann. Stat. , 26 : 1190 – 1197 .
  • Bruss , F . 1984 . A unified approach to a class of best choice problems with an unknown number of options . Ann. Probab. , 12 : 882 – 889 .
  • Bruss , F and Samuels , S . 1987 . A unified approach to a class of optimal selecting problems with an unknown number of options . Ann. Probab. , 15 : 824 – 830 .
  • Dubins , LE and Pitman , J . 1980 . A maximal inequality for skew fields . Z. Wahrsch. Verw. Gebiete , 52 : 219 – 227 .
  • Harten F Meyerthole A Schmitz N 1997 Prophetentheorie Teubner Skripten zur Mathematischen Stochastik. Teubner-Verlag, Stuttgart (in German)
  • Hill , TP and Kertz , RP . 1981 . Ratio comparisons of supremum and stop rule expectations . Z. Wahrsch. Verw. Gebiete , 56 : 283 – 285 .
  • Hill , TP and Kertz , RP . 1983 . Stop rule inequalities for uniformly bounded sequences of random variables . Trans. Amer. Math. Soc. , 278 : 197 – 207 .
  • Hill , TP and Kertz , RP . 1992 . A survey of prophet inequalities in optimal stopping theory . Contemp. Math. , 125 : 191 – 207 .
  • Hill , TP and Krengel , U . 1991 . Minimax-optimal stop rules and distributions in secretary problems . Ann. Probab. , 19 : 342 – 353 .
  • Krengel U Sucheston L 1978 On semiamarts, amarts, and processes with finite value In: J. Kuelbs (Ed.) Probability on Banach Spaces, Marcel Dekker New York
  • Presman , E and Sonin , I . 1972 . The best choice problem for a random number of objects . Theory Probab Applic. , 17 : 657 – 668 .
  • Rasmussen , W and Robbins , H . 1975 . The candidate problem with unknown population size . J. Appl. Probab , 12 : 692 – 701 .
  • Saint-Mont , U . 2003 . Comparison of values of independent random variables in a Bayesian setting . Sequential Anal. , 22 : 159 – 165 .
  • Schmitz N 2000 Prophet Theory Skripten zur Mathematischen Statistik, Nr. 34. Teubner-Verlag, Stuttgart

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