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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.
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)

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Probability, 62G99 (Primary) 62F07, 60F15 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/124905

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0703032
 http://arxiv.org/abs/math/0703032
 Annals of Applied Probability 2007, Vol. 17, No. 1, 360-385
 doi:10.1214/105051606000000691

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arXiv