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December, 1972 A Cramer Von-Mises Type Statistic for Testing Symmetry
E. D. Rothman, Michael Woodroofe
Ann. Math. Statist. 43(6): 2035-2038 (December, 1972). DOI: 10.1214/aoms/1177690879


A Cramer von-Mises type statistic is proposed for testing the symmetry of a continuous distribution function. Its asymptotic null distribution is found explicitly, and its asymptotic distribution under a sequence of local alternatives is described. A Monte Carlo study indicates that the asymptotic formulae are accurate for sample sizes as small as twenty.


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E. D. Rothman. Michael Woodroofe. "A Cramer Von-Mises Type Statistic for Testing Symmetry." Ann. Math. Statist. 43 (6) 2035 - 2038, December, 1972.


Published: December, 1972
First available in Project Euclid: 27 April 2007

zbMATH: 0276.62045
MathSciNet: MR365885
Digital Object Identifier: 10.1214/aoms/1177690879

Rights: Copyright © 1972 Institute of Mathematical Statistics

Vol.43 • No. 6 • December, 1972
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