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Select Sets: Rank and File

Author

Listed:
  • Abba M. Krieger
  • Moshe Pollak
  • Ester Samuel-Cahn

Abstract

In many situations, the decision maker observes items in sequence and needs to determine whether or not to retain a particular item immediately after it is observed. Any decision rule creates a set of items that are selected. We consider situations where the available information is the rank of a present observation relative to its predecessors. Certain "natural" selection rules are investigated. Theoretical and Monte Carlo results are presented pertaining to the evolution of the number of items selected, measures of their quality and the time it would take to amass a group of a given size. A comparison between rules is made, and guidelines to the choice of good procedures are offered.

Suggested Citation

  • Abba M. Krieger & Moshe Pollak & Ester Samuel-Cahn, 2005. "Select Sets: Rank and File," Discussion Paper Series dp388, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
    • Handle: RePEc:huj:dispap:dp388
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    File URL: http://ratio.huji.ac.il/sites/default/files/publications/dp388.pdf
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    References listed on IDEAS

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    1. Preater, J., 2000. "Sequential selection with a better-than-average rule," Statistics & Probability Letters, Elsevier, vol. 50(2), pages 187-191, November.
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    More about this item

    Keywords

    Selection rules; Ranks; Nonparametrics; Sequential observations; Asymptotics;
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