Select sets: Rank and file
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 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.
Cite
@article{arxiv.math/0703032,
title = {Select sets: Rank and file},
author = {Abba M. Krieger and Moshe Pollak and Ester Samuel-Cahn},
journal= {arXiv preprint arXiv:math/0703032},
year = {2007}
}
Comments
Published at http://dx.doi.org/10.1214/105051606000000691 in the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)