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On Sobolev tests of uniformity on the circle with an extension to the sphere
On Sobolev tests of uniformity on the circle with an extension to the sphere Permalink https://escholarship.org/uc/item/7mb6w6k6 Journal BERNOULLI, 26(3) a considerable literature on the topic. In the present work, we provide new tests of uniformity on the circle based on original asymptotic results. Our tests are motivated by the shape of locally and asymptotically maximin tests of uniformity against generalized von Mises distributions. We show that they are uniformly consistent. Empiricaldoi:10.3150/19-bej1191 fatcat:efeagnrexbbmnecab3pfdjsf3i