Abstract
SummaryLet n points be independently distributed on a circle. Moving in a counter‐clockwise direction, place arcs of length a on the circle with the ith are starting at the ith point.We describe three simple tests of the hypothesis of uniformity based on vacancy, on number of spacings and on the length of the maximal spacing. The tests do not require knowledge of the random points. The asymptotic power of these tests is investigated, and it is shown that vacancy‐based tests perform best of the three.
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