Abstract
We propose a new omnibus test for uniformity on the circle. The new test is based upon the idea of data driven smooth tests as presented in Ledwina (1994, J. Amer. Statist. Assoc., 89, 1000–1005). Our simulations indicate that the test performs very well for multifarious alternatives. In particular, it seems to outperform other known omnibus tests when testing against multimodal alternatives. We also investigate asymptotic properties of our test and we prove that it is consistent against every departure from uniformity.
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Bogdan, M., Bogdan, K. & Futschik, A. A Data Driven Smooth Test for Circular Uniformity. Annals of the Institute of Statistical Mathematics 54, 29–44 (2002). https://doi.org/10.1023/A:1016109603897
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DOI: https://doi.org/10.1023/A:1016109603897