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Biometrika 1974 61(2):369-373; doi:10.1093/biomet/61.2.369
© 1974 by Biometrika Trust
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New approximations to the distribution of certain angular statistics

G. J. G. UPTON*

School of Mathematics, University of Newcastle upon Tyne

*Now at Department of Mathematics, University of Essex, Colchester

This paper provides improved normal approximations to the von Mises distribution. New adjustments for certain chi-squared approximations to the distributions of the two useful angular statistics X and R are introduced. These are compared with the existing adjustments.

Key Words: Chi-squared approximations • Directions • Normal approximations • Resultant vector • von Mises distribution


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