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) : Rothman,Edward D.

Report Date : NOV 1969

Pagination or Media Count : 25

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 N(t,x) denote the number of observations on the arc between but not including x, to and including (x+t) and define (A sub n)(t) = (1/n) the integral from zero to one of (N(t,x)-nt)squared dx. Ajne (1968), proposed most powerful test for uniformity invariant under rotation of a circle against certain 'close' alternatives rejects when (A sub n)(1/2) is large. Watson (1967), obtained the asymptotic distribution. This paper extends Watson's result to 0 < t = or < 1/2. (Author)

Descriptors :   (*STATISTICAL DISTRIBUTIONS, STATISTICAL TESTS), DISTRIBUTION FUNCTIONS, SAMPLING, INVARIANCE, THEOREMS

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE