Accession Number:

AD0699164

Title:

TESTS FOR UNIFORMITY OF A CIRCULAR DISTRIBUTION.

Descriptive Note:

Technical rept.,

Corporate Author:

JOHNS HOPKINS UNIV BALTIMORE MD DEPT OF STATISTICS

Personal Author(s):

Report Date:

1969-11-01

Pagination or Media Count:

25.0

Abstract:

Suppose that a sample of size n is drawn from a circular distribution. Arbritrarily establish an origin of the circle and measure distances from this origin in a clockwise direction. Let Nt,x denote the number of observations on the arc between but not including x, to and including xt and define A sub nt 1n the integral from zero to one of Nt,x-ntsquared dx. Ajne 1968, proposed most powerful test for uniformity invariant under rotation of a circle against certain close alternatives rejects when A sub n12 is large. Watson 1967, obtained the asymptotic distribution. This paper extends Watsons result to 0 t or 12. Author

Subject Categories:

  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE