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June, 1953 Equivalent Comparisons of Experiments
David Blackwell
Ann. Math. Statist. 24(2): 265-272 (June, 1953). DOI: 10.1214/aoms/1177729032

Abstract

Sherman [8] and Stein [9] have shown that a method given by the author [1] for comparing two experiments is equivalent, for experiments with a finite number of outcomes, to the original method introduced by Bohnenblust, Shapley, and Sherman [4]. A new proof of this result is given, and the restriction to experiments with a finite number of outcomes is removed. A class of weaker comparisons--comparison in $k$-decision problems--is introduced, in three equivalent forms. For dichotomies, all methods are equivalent, and can be described in terms of errors of the first and second kinds.

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David Blackwell. "Equivalent Comparisons of Experiments." Ann. Math. Statist. 24 (2) 265 - 272, June, 1953. https://doi.org/10.1214/aoms/1177729032

Information

Published: June, 1953
First available in Project Euclid: 28 April 2007

zbMATH: 0050.36004
MathSciNet: MR56251
Digital Object Identifier: 10.1214/aoms/1177729032

Rights: Copyright © 1953 Institute of Mathematical Statistics

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Vol.24 • No. 2 • June, 1953
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