SOME PROBLEMS IN THE STATISTICS OF DIRECTIONS.
JOHNS HOPKINS UNIV BALTIMORE MD DEPT OF STATISTICS
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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 expH 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 expH cos theta distributions, to deviations from this distribution. Author
- Statistics and Probability