Testing for uniformity on a compact homogeneous space
- 1 April 1968
- journal article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 5 (1) , 177-195
- https://doi.org/10.2307/3212085
Abstract
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[1], 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.Keywords
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