Umfang:
Online-Ressource
ISSN:
1521-4036
Inhalt:
Abstract: In soil micromorphology fissures are considered in vertical sections. To get information about the properties of the soil the joint distribution of spatial direction and width of these fissures is of interest. The fissures are mathematically generalized to flat bodies which are defined as stationary weighted surface processes with the weight “thickness”. In a typical point of the surface process suitable, joint parametric distributions of direction and thickness are assumed. The parameters have to be estimated from measurements on vertical sections which are taken from the soil. On these sections only a visible thickness and a visible angle can be observed. The joint distribution of these variables can be expressed by the joint distribution of spatial direction and thickness with the same parameters and in this indirect way the parameters can be estimated. The paper describes how to randomize the vertical section and how to measure the visible variables on the sections. The Chi‐Square method is proposed for the parameter estimation. Further it is discussed how to derive good starting values for the numerical procedure. All this is demonstrated in a simulation study using the Bingham‐Mardia distribution for the direction and the lognormal distribution for the thickness including a way to correlate the mean thickness and the direction. Finally an application in soil micromorphology is demonstrated for one soil horizon.
In:
volume:35
In:
number:6
In:
year:2007
In:
pages:661-675
In:
extent:15
In:
Biometrical journal, Berlin : Wiley-VCH, 1977-, 35, Heft 6 (2007), 661-675 (gesamt 15), 1521-4036
Sprache:
Englisch
DOI:
10.1002/bimj.4710350604
URN:
urn:nbn:de:101:1-2024020304352286705154
URL:
https://doi.org/10.1002/bimj.4710350604
URL:
https://nbn-resolving.org/urn:nbn:de:101:1-2024020304352286705154
URL:
https://d-nb.info/1318216494/34
URL:
https://doi.org/10.1002/bimj.4710350604