Email this article On the Mixing Property in the Sense of A. Rényi for the Statistics of Homogeneity Test
- Authors: Dzhamirzaev A.A.1
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Affiliations:
- National University of Uzbekistan named after Mirzo Ulugbek
- Issue: Vol 227, No 2 (2017)
- Pages: 204-207
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/240123
- DOI: https://doi.org/10.1007/s10958-017-3586-y
- ID: 240123
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Abstract
In this paper we present an R-mixing test for the sequence of random variables, introduced by A. Rényi, and prove a certain property of R-mixed sequences. It is proved that the statistics of homogeneity test has the R-mixing property with the limit chi-square distribution with k − 1 degrees of freedom. This result strengthens a well-known result on the asymptotic chi-square distribution of the statistics of homogeneity test.
About the authors
A. A. Dzhamirzaev
National University of Uzbekistan named after Mirzo Ulugbek
Author for correspondence.
Email: a_abdushukurov@rambler.ru
Uzbekistan, Tashkent
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