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A class of Bayes‐optimal two‐stage screens

Author

Listed:
  • R. J. Boys
  • K. D. Glazebrook
  • D. J. Laws

Abstract

Items are characterized by a set of attributes (T) and a collection of covariates (X) associated with those attributes. We wish to screen for acceptable items (T ∈ CT), but T is expensive to measure. We envisage a two‐stage screen in which observation of X_ is used as a filter at the first stage to sentence most items. The second stage involves the observation of T for those items for which the first stage is indecisive. We adopt a Bayes decision‐theoretic approach to the development of optimal two‐stage screens within a general framework for costs and stochastic structure. We also consider the important question of how much screens need to be modified in the light of resource limitations that bound the proportion of items that can be passed to the second stage. © 1996 John Wiley & Sons, Inc.

Suggested Citation

  • R. J. Boys & K. D. Glazebrook & D. J. Laws, 1996. "A class of Bayes‐optimal two‐stage screens," Naval Research Logistics (NRL), John Wiley & Sons, vol. 43(8), pages 1109-1125, December.
    • Handle: RePEc:wly:navres:v:43:y:1996:i:8:p:1109-1125
    DOI: 10.1002/(SICI)1520-6750(199612)43:83.0.CO;2-I
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    References listed on IDEAS

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    1. Do Sun Bai & Sung Hoon Hong, 1992. "Economic screening procedures using a correlated variable with multidecision alternatives," Naval Research Logistics (NRL), John Wiley & Sons, vol. 39(4), pages 471-485, June.
    2. Do Sun Bai & Hyuck Moo Kwon & Min Koo Lee, 1995. "An economic two‐stage screening procedure with a prescribed outgoing quality in logistic and normal models," Naval Research Logistics (NRL), John Wiley & Sons, vol. 42(7), pages 1081-1097, October.
    3. Sang Boo Kim & Do Sun Bai, 1990. "Economic screening procedures in logistic and normal models," Naval Research Logistics (NRL), John Wiley & Sons, vol. 37(6), pages 919-928, December.
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