Classification into two von Mises distributions with unknown mean directions

Kryštof Eben

Aplikace matematiky (1983)

  • Volume: 28, Issue: 3, page 230-237
  • ISSN: 0862-7940

Abstract

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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.

How to cite

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Eben, Kryštof. "Classification into two von Mises distributions with unknown mean directions." Aplikace matematiky 28.3 (1983): 230-237. <http://eudml.org/doc/15299>.

@article{Eben1983,
abstract = {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.},
author = {Eben, Kryštof},
journal = {Aplikace matematiky},
keywords = {directional data; likelihood rule; classification; von Mises distributions; unknown mean directions; known common concentration parameter; plug-in rule; moment generating function; directional data; likelihood rule; classification; von Mises distributions; unknown mean directions; known common concentration parameter; plug-in rule; moment generating function},
language = {eng},
number = {3},
pages = {230-237},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Classification into two von Mises distributions with unknown mean directions},
url = {http://eudml.org/doc/15299},
volume = {28},
year = {1983},
}

TY - JOUR
AU - Eben, Kryštof
TI - Classification into two von Mises distributions with unknown mean directions
JO - Aplikace matematiky
PY - 1983
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 28
IS - 3
SP - 230
EP - 237
AB - 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.
LA - eng
KW - directional data; likelihood rule; classification; von Mises distributions; unknown mean directions; known common concentration parameter; plug-in rule; moment generating function; directional data; likelihood rule; classification; von Mises distributions; unknown mean directions; known common concentration parameter; plug-in rule; moment generating function
UR - http://eudml.org/doc/15299
ER -

References

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  1. H. Bateman A. Erdélyi, Higher transcendental functions, vol. 2, McGraw-Hill 1953. (1953) MR0058756
  2. K. V. Mardia, Statistics of directional data, Academic Press, London and New York 1972. (1972) Zbl0244.62005MR0336854
  3. J. E. Morris P. J. Laycock, 10.1093/biomet/61.2.335, Biometrika 61 (1974), 335-342. (1974) MR0423692DOI10.1093/biomet/61.2.335

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