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A sharpening of the remainder term in the higher-dimensional central limit theorem for multilinear rank statistics
Authors:Manfred Denker  Madan L Puri  Uwe Rösler
Affiliation:Universität Göttingen, Göttingen, West Germany;Indiana University USA;Universität Göttingen, Göttingen, West Germany
Abstract:A new approach to the asymptotic normality of the multivariate linear rank statistics is provided along with the Berry-Esséen and the Prohorov distance estimates for the remainder term in the convergence to normality.
Keywords:62E20  60F05  linear rank statistics  Berry-Esséen estimates  Prohorov distance estimates
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