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Biometrika 2002 89(4):947-951; doi:10.1093/biomet/89.4.947
© 2002 by Biometrika Trust
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Miscellanea

Improved likelihood ratio tests on the von Mises–Fisher distribution

P.V. Larsen1, P.Blæsild2 and M.K. Sørensen2

1 Department of Statistics and Demography, University of Southern Denmark, Sdr.Boulevard 23A, DK-5000 Odense C, Denmark pvl{at}statdem.sdu.dk 2 Department of Statistics, University of Aarhus, DK-8000 Aarhus, Denmark preben{at}imf.aau.dk mks{at}imf.aau.dk

Explicit expressions for the directed likelihood statistic, r, and two modified directed likelihood statistics, r* and r{dagger}, are given for several standard hypotheses on concentrations in von Mises–Fisher distributions, and for several standard hypotheses on mean directions in von Mises distributions.

Key Words: Directed likelihood statistic; Directional data; Fisher distribution; Modified directed likelihood statistic; von Mises distribution

Received November 2001. Revised May 2002


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