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Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography], 2023, Volume 14, Issue 4, Pages 55–70
DOI: https://doi.org/10.4213/mvk455
(Mi mvk455)
 

Statistical tests for uniformity of distribution and independence of vectors based on pairwise distances

A. M. Zubkov

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
References:
Abstract: The problem of testing statistical hypotheses on the uniformity of distribution and independence of random vectors is interesting from theoretical and practical viewpoints. Many authors had proposed various approaches to solving it. In some tests for the hypotheses on the uniformity of distributions of random vectors in a multidimensional region or on their independence some functions of pairwise distances between sample points are used as statistics. The paper contains a brief review of such tests. A new test for the hypothesis on the uniformity of distribution based on pairwise distances is proposed.
Key words: statistical hypotheses testing, multidimensional observations, uniformity testing, independence testing, pairwise distances between sample points.
Received 18.V.2023
Document Type: Article
UDC: 519.233.33
Language: Russian
Citation: A. M. Zubkov, “Statistical tests for uniformity of distribution and independence of vectors based on pairwise distances”, Mat. Vopr. Kriptogr., 14:4 (2023), 55–70
Citation in format AMSBIB
\Bibitem{Zub23}
\by A.~M.~Zubkov
\paper Statistical tests for uniformity of distribution and independence of vectors based on pairwise distances
\jour Mat. Vopr. Kriptogr.
\yr 2023
\vol 14
\issue 4
\pages 55--70
\mathnet{http://mi.mathnet.ru/mvk455}
\crossref{https://doi.org/10.4213/mvk455}
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