A simple test for uniformity of a circular distribution

By B. Ajne. 1968

Subfields: Statistics and Probability

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Statistics and Probability

1. Rongmei Lin
2. Angela Bitto-Nemling
3. Adrian Weller
4. Bernhard Schölkopf
5. Hubert Ramsauer
6. Günter Klambauer
7. Li Xiong
8. Zhen Liu

Citations in the corpus

• CLOOB: Modern Hopfield Networks with InfoLOOB Outperform CLIP (2021, methodology): “Figure 3 shows how InfoLOOB leads to an increase in the uniformity of image and text embeddings on the sphere, which is described by the statistics of the uniformity test of Ajne that was extended by Prentice (Ajne, 1968; Prentice, 1978).”
• Learning with Hyperspherical Uniformity (2021, methodology): “As one of the Sobolev test, Ajne test [61, 1] uses the following test statistic:”
• A comparison of various tests of normality (2007, methodology): “Ajne test of normality [8] followed these tests.”
• Some intriguing properties of Tukey's half-space depth (2012, background): “As discussed in [19], Ajne’s test (see [1]), which is a distribution-free test for bivariate data, can be used for testing angular symmetry of a bivariate distribution about a specified point (say, μ0).”