Acta Stereologica Acta Stereologica -  Volume 3 (1984)  Number 1 - May 1984 

A relationship between the parameter κ of a von mises distribution and intersection densities measured on two perpendicular test lines

Konrad Sandau
Institut für Angewandte Mathematik und Statistik, Universität Hohenheim, Pf. 700562/110, 7000 Stuttgart 70, FRG

Abstract

The fraction of the two intersection densities of test lines along and perpendicular to a known prevalent direction is considered as a function of the concentration parameter κ of the bimodal von Mises distribution. This is done similar to Weibel (1980), who derived the corresponding function for the Mariott distribution. A table and the asymptotic behaviour are given. Small deviations of the test line system to the prevalent direction are considered. Finally it is shown, that a three dimensional initial problem, raised by biopedologists can be treated with the appropriate formula and also with the results given in the paper of Mathieu et al. (1983), depending on the assumed model.

To cite this article

Konrad Sandau, «A relationship between the parameter κ of a von mises distribution and intersection densities measured on two perpendicular test lines», Acta Stereologica [En ligne], Volume 3 (1984), Number 1 - May 1984, 11-17 URL : https://popups.ulg.ac.be/0351-580x/index.php?id=3908.