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math.ST2025
A goodness-of-fit test for the Zeta distribution with unknown parameter
Bruno Ebner, Daniel Hlubinka
We introduce a new goodness-of-fit test for count data on for the Zeta distribution with unknown parameter. The test is built on a Stein-type characterization that use…
math.ST2025
High-dimensional Sobolev tests on hyperspheres
Bruno Ebner, Eduardo García-Portugués, Thomas Verdebout
We derive the limit null distribution of the class of Sobolev tests of uniformity on the hypersphere as the dimension and the sample size diverge to infinity at arbitrary rates. Th…