| Title:
|
Classification into two von Mises distributions with unknown mean directions (English) |
| Author:
|
Eben, Kryštof |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
28 |
| Issue:
|
3 |
| Year:
|
1983 |
| Pages:
|
230-237 |
| Summary lang:
|
English |
| Summary lang:
|
Czech |
| . |
| Category:
|
math |
| . |
| 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. (English) |
| Keyword:
|
directional data |
| Keyword:
|
likelihood rule |
| Keyword:
|
classification |
| Keyword:
|
von Mises distributions |
| Keyword:
|
unknown mean directions |
| Keyword:
|
known common concentration parameter |
| Keyword:
|
plug-in rule |
| Keyword:
|
moment generating function |
| MSC:
|
62H15 |
| MSC:
|
62H30 |
| idZBL:
|
Zbl 0539.62070 |
| idMR:
|
MR0701741 |
| DOI:
|
10.21136/AM.1983.104029 |
| . |
| Date available:
|
2008-05-20T18:22:19Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/104029 |
| . |
| Reference:
|
[1] H. Bateman A. Erdélyi: Higher transcendental functions.vol. 2, McGraw-Hill 1953. MR 0058756 |
| Reference:
|
[2] K. V. Mardia: Statistics of directional data.Academic Press, London and New York 1972. Zbl 0244.62005, MR 0336854 |
| Reference:
|
[3] J. E. Morris P. J. Laycock: Discriminant analysis of directional data.Biometrika 61 (1974), 335-342. MR 0423692, 10.1093/biomet/61.2.335 |
| . |
