SOME PROBLEMS IN THE STATISTICS OF DIRECTIONS.
Abstract
In several of the natural sciences the basic observations are directions i.e. unit vectors in two or three dimensions. Many tests for randomness (i.e. no preferred direction) have been given. The commonest distribution used when there is a preferred direction has a density proportional to exp(H cos theta) where theta is the angle between the direction and the preferred direction and H is a positive accuracy parameter. This paper discusses (1) recent work on tests for randomness and related problems (2) the robustness of the common tests, based on the exp(H cos theta) distributions, to deviations from this distribution. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1967
- Accession Number
- AD0654462
Entities
People
- Geoffrey S. Watson
Organizations
- Johns Hopkins University