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Extreme order statistics with cost of sampling
Published online by Cambridge University Press: 01 July 2016
Abstract
Let X1, X2, …, Xn, … be mutually independent with common CDF F and, for each m, n, let Xm:n be the mth largest among the first n. We consider max1≤n<∞ (X1:n – cn) and the ‘optimal stopping rule' N which maximizes where
all l and
In particular, we consider
and
All of these are considered for c ϵ (0,∞) as well as asymptotically as c → 0+.
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- Research Article
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- Copyright
- Copyright © Applied Probability Trust 1983
Footnotes
Research supported by the United States Department of Energy Contract DE-AC01-81RG10494.
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