The Annals of Statistics

Nonparametric comparison of mean directions or mean axes

Rudolf Beran and Nicholas I. Fisher

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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.

Article information

Source
Ann. Statist., Volume 26, Number 2 (1998), 472-493.

Dates
First available in Project Euclid: 31 July 2002

Permanent link to this document
https://projecteuclid.org/euclid.aos/1028144845

Digital Object Identifier
doi:10.1214/aos/1028144845

Mathematical Reviews number (MathSciNet)
MR1626051

Zentralblatt MATH identifier
0934.62057

Subjects
Primary: 62H11: Directional data; spatial statistics
Secondary: 62G15: Tolerance and confidence regions

Keywords
Rotational difference simultaneous confidence sets simultaneous tests bootstrap

Citation

Beran, Rudolf; Fisher, Nicholas I. Nonparametric comparison of mean directions or mean axes. Ann. Statist. 26 (1998), no. 2, 472--493. doi:10.1214/aos/1028144845. https://projecteuclid.org/euclid.aos/1028144845


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