Open Access
June, 1982 Optimal Stopping Regions with Islands and Peninsulas
Donald A. Berry, PeCheng Wang
Ann. Statist. 10(2): 634-636 (June, 1982). DOI: 10.1214/aos/1176345806


An urn contains a known number of balls, an unknown number $R$ of which are red. Sequential sampling with replacement is possible and cost is proportional to sample size. The objective is to estimate $R$ with 0-1 loss, given that a priori $R$ has a discrete uniform distribution. It is shown that optimal stopping regions may be disconnected and composed of islands and peninsulas.


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Donald A. Berry. PeCheng Wang. "Optimal Stopping Regions with Islands and Peninsulas." Ann. Statist. 10 (2) 634 - 636, June, 1982.


Published: June, 1982
First available in Project Euclid: 12 April 2007

zbMATH: 0488.62060
MathSciNet: MR653540
Digital Object Identifier: 10.1214/aos/1176345806

Primary: 60L15
Secondary: 62C10

Keywords: Dichotomous populations , discrete uniform prior , maximum likelihood estimation , posterior probabilities , sampling with replacement , sequential sampling , stopping island , stopping peninsulas , stopping regions

Rights: Copyright © 1982 Institute of Mathematical Statistics

Vol.10 • No. 2 • June, 1982
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