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December, 1982 Spherically Symmetric Probability Orderings Useful in Multiple Comparisons
Robert Bohrer, Henry P. Wynn
Ann. Statist. 10(4): 1253-1260 (December, 1982). DOI: 10.1214/aos/1176345990


The statement that one region has more probability content than another with respect to all spherically symmetric (rotation invariant) distributions is a partial ordering among such regions. A simple geometric characterization of this ordering is given for star-shaped regions containing the origin. This characterization has several different interpretations. New techniques, inequalities, and examples are produced from this geometrical approach. The results have particular application to simultaneous confidence levels.


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Robert Bohrer. Henry P. Wynn. "Spherically Symmetric Probability Orderings Useful in Multiple Comparisons." Ann. Statist. 10 (4) 1253 - 1260, December, 1982.


Published: December, 1982
First available in Project Euclid: 12 April 2007

zbMATH: 0507.62068
MathSciNet: MR673660
Digital Object Identifier: 10.1214/aos/1176345990

Primary: 62J15
Secondary: 60D05 , 62H10

Keywords: geometric probability , Multivariate distributions , simultaneous inference

Rights: Copyright © 1982 Institute of Mathematical Statistics

Vol.10 • No. 4 • December, 1982
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