Geodesic
Classification into two von Mises distributions with unknown mean directions
Applications of Mathematics, Tome 28 (1983) no. 3, pp. 230-237
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

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 
@article{10_21136_AM_1983_104029,
     author = {Eben, Kry\v{s}tof},
     title = {Classification into two von {Mises} distributions with unknown mean directions},
     journal = {Applications of Mathematics},
     pages = {230--237},
     year = {1983},
     volume = {28},
     number = {3},
     doi = {10.21136/AM.1983.104029},
     mrnumber = {0701741},
     zbl = {0539.62070},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1983.104029/}
}
TY  - JOUR
AU  - Eben, Kryštof
TI  - Classification into two von Mises distributions with unknown mean directions
JO  - Applications of Mathematics
PY  - 1983
SP  - 230
EP  - 237
VL  - 28
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.21136/AM.1983.104029/
DO  - 10.21136/AM.1983.104029
LA  - en
ID  - 10_21136_AM_1983_104029
ER  - 
%0 Journal Article
%A Eben, Kryštof
%T Classification into two von Mises distributions with unknown mean directions
%J Applications of Mathematics
%D 1983
%P 230-237
%V 28
%N 3
%U http://geodesic.mathdoc.fr/articles/10.21136/AM.1983.104029/
%R 10.21136/AM.1983.104029
%G en
%F 10_21136_AM_1983_104029
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

[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

Cité par Sources :