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Biometrika 1977 64(2):411-414; doi:10.1093/biomet/64.2.411
© 1977 by Biometrika Trust
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An inequality for certain bivariate probability integrals

H. P. WYNN

Department of Mathematics, Imperial College London

Let µ be an arbitrary radially symmetries bivariate probability distribution oentred at O. An inequality is given comparing the probability content with respect to µ of two different polygons circumscribing the same fixed circle, centre O. The result covers a number of cases of interest for comparing the width of simultaneous confidence intervals.

Key Words: Bivariate distribution • Confidenoe region • Normal distribution • Simultaneous inference


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