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directional data; likelihood rule; classification; von Mises distributions; unknown mean directions; known common concentration parameter; plug-in rule; moment generating function
The paper deals with two Mises distributions on the circle with unknown mean directions and a common concentration parameter that is known. The likelihood rule and the plug-in rule are examined. For the statistic of the plug-in rule, the moment generating function is given and a method of obtaining the moments is proposed.
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[3] J. E. Morris P. J. Laycock: Discriminant analysis of directional data. Biometrika 61 (1974), 335-342. DOI 10.1093/biomet/61.2.335 | MR 0423692
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