A mathematical model for orientation data from macroscopic conical folds |
| |
| Authors: | D. Kelker and C. W. Langenberg |
| |
| Affiliation: | (1) Department of Statistics and Applied Probability, University of Alberta, T6G 2G1 Edmonton, Alberta, Canada;(2) Geological Survey Department, Alberta Research Council, Edmonton, Alberta, Canada |
| |
| Abstract: | Statistical techniques are developed to classify folds into one of three classes: cylindrical, conical, or neither. A translated version of Bingham's distribution on the sphere is applied to orientation data fron conical folds. Iterative least-squares techniques are used to determine the best-fitting small circle (or cone), and confidence intervals for the cone axis and half apical angle are developed. Examples of a cylindrical and a conical fold are given. Another fold is neither cylindrical nor conical and is classified as pseudoconical. Relationships between the Bingham and Fisher distributions are presented. |
| |
| Keywords: | Conical folds orientation data Bingham distribution Fisher distribution statistical inference |
| 本文献已被 SpringerLink 等数据库收录！ |
|
