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April 1998 Nonparametric comparison of mean directions or mean axes
Rudolf Beran, Nicholas I. Fisher
Ann. Statist. 26(2): 472-493 (April 1998). DOI: 10.1214/aos/1028144845

Abstract

Samples of directional or axial measurements arise in geophysical, biological and econometric contexts. We represent the rotational difference between two mean directions (or two mean axes) as a direction (or axis). We then construct nonparametric simultaneous confidence sets for all pair-wise rotational differences among the mean directions or mean axes of $s$ samples. By specialization, this methodology yields nonparametric simultaneous tests for pairwise equality of directional means or axes.

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Rudolf Beran. Nicholas I. Fisher. "Nonparametric comparison of mean directions or mean axes." Ann. Statist. 26 (2) 472 - 493, April 1998. https://doi.org/10.1214/aos/1028144845

Information

Published: April 1998
First available in Project Euclid: 31 July 2002

zbMATH: 0934.62057
MathSciNet: MR1626051
Digital Object Identifier: 10.1214/aos/1028144845

Subjects:
Primary: 62H11
Secondary: 62G15

Rights: Copyright © 1998 Institute of Mathematical Statistics

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Vol.26 • No. 2 • April 1998
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