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Eben, Kryštof
Classification into two von Mises distributions with unknown mean directions. (English). Aplikace matematiky, vol. 28 (1983), issue 3, pp. 230-237
MSC: 62H15, 62H30 | MR 0701741 | Zbl 0539.62070 | DOI: 10.21136/AM.1983.104029
Keywords:
directional data; likelihood rule; classification; von Mises distributions; unknown mean directions; known common concentration parameter; plug-in rule; moment generating function
Summary:
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.
References:
[1] H. Bateman A. Erdélyi: Higher transcendental functions. vol. 2, McGraw-Hill 1953. MR 0058756
[2] K. V. Mardia: Statistics of directional data. Academic Press, London and New York 1972. MR 0336854 | Zbl 0244.62005
[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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