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An Optimality Property of Scheffe Bounds

Robert Bohrer

The Annals of Statistics · 1973 · Volume 1 · Issue 4

DOI: 10.1214/aos/1176342473

Abstract

Conditions are derived which are commonly met in applications and which are sufficient for both one- and two-sided Scheffe bounds to have no greater average width than any other-shaped confidence bounds which have the same confidence coefficient.

Keywords

62, Confidence bounds, J10, J15, multiple comparison, Q05, simultaneous inference

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