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A unified approach to goodness-of-fit testing for spherical and hyperspherical data

dc.contributor.authorBruno Ebner et al
dc.date.accessioned2026-01-21T06:34:54Z
dc.date.issued2024
dc.descriptionPure and Applied Analytics, North-West University, Potchefstroom, South Africa
dc.description.abstractWe propose a general and relatively simple method to construct goodness-of-fit tests on the sphere and the hypersphere. The method is based on the characterization of probability distributions via their characteristic function, and it leads to test criteria that are convenient regarding applications and consistent against arbitrary deviations from the model under test. We emphasize goodness-of-fit tests for spherical distributions due to their importance in applications and the relative scarcity of available methods.
dc.identifier.citationEbner, B., Henze, N. and Meintanis, S., 2024. A unified approach to goodness-of-fit testing for spherical and hyperspherical data. Statistical Papers, 65(6), pp.3447-3475.
dc.identifier.urihttp://hdl.handle.net/10394/45485
dc.language.isoen
dc.publisherSpringer New York
dc.subjectGoodness-of-fit test · Characteristic function · Resampling methods · Spherical distribution
dc.titleA unified approach to goodness-of-fit testing for spherical and hyperspherical data
dc.typeArticle

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