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- W2034185181 abstract "The notion of a simultaneous confidence bound is redefined by requiring a bound on the expected converge measure (ECM) instead of the coverage probability. This is analogous to a criterion introduced by Spjotvoll for defining simultaneous tests of hypotheses. Bounds which minimize certain width functionals, subject to a bound on the ECM, are characterized. For bounds on a multilinear regression function over an arbitrary subset of Euclidean space, the bounds which minimize weighted average width, among all bounds with prescribed ECM, are expressed in closed form. As a special case, we give a weight function relative to which Scheffe-type bounds are optimal." @default.
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- W2034185181 date "1984-06-01" @default.
- W2034185181 modified "2023-10-18" @default.
- W2034185181 title "Optimal Simultaneous Confidence Bounds" @default.
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- W2034185181 doi "https://doi.org/10.1214/aos/1176346516" @default.
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