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.
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 
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     author = {Eben, Kry\v{s}tof},
     title = {Classification into two von {Mises} distributions with unknown mean directions},
     journal = {Applications of Mathematics},
     pages = {230--237},
     publisher = {mathdoc},
     volume = {28},
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     doi = {10.21136/AM.1983.104029},
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     zbl = {0539.62070},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1983.104029/}
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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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