TESTS FOR UNIFORMITY OF A CIRCULAR DISTRIBUTION.
JOHNS HOPKINS UNIV BALTIMORE MD DEPT OF STATISTICS
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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
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