Geodesic
Classification into two von Mises distributions with unknown mean directions
Applications of Mathematics, Tome 28 (1983) no. 3, pp. 230-237

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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.
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.
DOI : 10.21136/AM.1983.104029
Classification : 62H15, 62H30
Keywords: directional data; likelihood rule; classification; von Mises distributions; unknown mean directions; known common concentration parameter; plug-in rule; moment generating function 
Eben, Kryštof. Classification into two von Mises distributions with unknown mean directions. Applications of Mathematics, Tome 28 (1983) no. 3, pp. 230-237. doi: 10.21136/AM.1983.104029
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     title = {Classification into two von {Mises} distributions with unknown mean directions},
     journal = {Applications of Mathematics},
     pages = {230--237},
     year = {1983},
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     zbl = {0539.62070},
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[1] H. Bateman A. Erdélyi: Higher transcendental functions. vol. 2, McGraw-Hill 1953. | MR

[2] K. V. Mardia: Statistics of directional data. Academic Press, London and New York 1972. | MR | Zbl

[3] J. E. Morris P. J. Laycock: Discriminant analysis of directional data. Biometrika 61 (1974), 335-342. | DOI | MR

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