Accession Number : AD0654462

Title :   SOME PROBLEMS IN THE STATISTICS OF DIRECTIONS.

Descriptive Note : Technical rept.,

Corporate Author : JOHNS HOPKINS UNIV BALTIMORE MD DEPT OF STATISTICS

Personal Author(s) : Watson,Geoffrey S.

Report Date : MAY 1967

Pagination or Media Count : 23

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)

Descriptors :   (*SAMPLING, RANDOM VARIABLES), DISTRIBUTION FUNCTIONS, INVARIANCE, STATISTICAL TESTS, MATHEMATICAL ANALYSIS, DISTRIBUTION THEORY, TABLES(DATA), MAGNETIC MOMENTS

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE