TESTING FOR UNIFORMITY ON A COMPACT HOMOGENEOUS SPACE.
JOHNS HOPKINS UNIV BALTIMORE MD DEPT OF STATISTICS
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This paper applies the invariance principle to the problem of testing a distribution on a compact homogeneous space for uniformity. The notion of using a reduction by invariance in such a situation is due to Ajne, who considers tests invariant under rotation on a circle. In his paper, he derives the distribution of the maximal invariant and gives the general form of the most powerful invariant test for uniformity on the circle. He proposes two simple test criteria. The present paper deals with an extension of some of these ideas to a compact homogeneous space.
- Statistics and Probability