The Annals of Mathematical Statistics

Equivalent Comparisons of Experiments

David Blackwell

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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.

Article information

Source
Ann. Math. Statist. Volume 24, Number 2 (1953), 265-272.

Dates
First available in Project Euclid: 28 April 2007

Permanent link to this document
http://projecteuclid.org/euclid.aoms/1177729032

JSTOR
links.jstor.org

Digital Object Identifier
doi:10.1214/aoms/1177729032

Mathematical Reviews number (MathSciNet)
MR56251

Zentralblatt MATH identifier
0050.36004

Citation

Blackwell, David. Equivalent Comparisons of Experiments. Ann. Math. Statist. 24 (1953), no. 2, 265--272. doi:10.1214/aoms/1177729032. http://projecteuclid.org/euclid.aoms/1177729032.


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