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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2021, Number 1, Pages 10–16
(Mi vmumm4372)
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Mathematics
Correlation approach to studying dependent discrete probability spaces
A. V. Lebedev Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Abstract:
The well-known problem of the absence of independent events in some discrete probability spaces (finite or countable) is considered. It is proposed to study such spaces using the minimum absolute value of the correlation coefficient of event indicators (in the case of a countable space, the infimum is taken). Examples of the probability space with a prime number of equally possible outcomes, a finite space with weights and irrationality, a geometric space with a prime number of outcomes and a countable space with probabilities given by the sum of three geometric progressions are considered.
Key words:
independence, dependence, random event, discrete probability space, correlation coefficient, prime number.
Received: 21.02.2020
Citation:
A. V. Lebedev, “Correlation approach to studying dependent discrete probability spaces”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2021, no. 1, 10–16; Moscow University Mathematics Bulletin, 76:1 (2021), 9–15
Linking options:
https://www.mathnet.ru/eng/vmumm4372 https://www.mathnet.ru/eng/vmumm/y2021/i1/p10
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Abstract page: | 89 | Full-text PDF : | 14 | References: | 30 | First page: | 8 |
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