On the evidence needed to reach agreed action between adversaries, with application to acceptance sampling

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

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Author(s)

  • Dennis V. Lindley
  • Nozer D. Singpurwalla

Detail(s)

Original languageEnglish
Pages (from-to)933-937
Journal / PublicationJournal of the American Statistical Association
Volume86
Issue number416
Publication statusPublished - Dec 1991
Externally publishedYes

Abstract

Two decision makers disagree about a quantity of interest to them both. One of them, the “consumer,” has a choice of two decisions that are affected by the quantity. The other, the “manufacturer,” offers to perform an agreed type of experiment that it is hoped will change the consumer’s view of the quantity and hence the decision. This article is devoted to the evaluation of how much experimentation should be done. Binomial, Poisson, and normal likelihoods, together with their conjugate utilities and probabilities, are considered and illustrated by numerical cases. The scenario considered here arises in applications to quality control, bidding, drug testing, marketing, and sales. © 1991 Taylor & Francis Group, LLC.

Research Area(s)

  • Bayesian decision theory, Drug testing, Game theory, Military standards, Preposterior analysis, Quality assurance, Sampling inspection