An Optimality Property of Scheffe Bounds

Robert Bohrer

doi:10.1214/aos/1176342473

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Home > Journals > Ann. Statist. > Volume 1 > Issue 4 > Article

July, 1973 An Optimality Property of Scheffe Bounds

Robert Bohrer

Ann. Statist. 1(4): 766-772 (July, 1973). DOI: 10.1214/aos/1176342473

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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.