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- W3136387408 abstract "UDC 517.9 For let if and if . For a random variable ξ let denote ; is a norm in a space - subgaussian random variables. We prove that if for a sequence there exist positive constants and such that for every natural number the following inequality holds then converges almost surely to zero as . This result is a generalization of the strong law of large numbers for independent sub-Gaussian random variables [see R. L. Taylor, T.-C. Hu, <em>Sub-Gaussian techniques in proving strong laws of large numbers</em>, Amer. Math. Monthly, <strong>94</strong>, 295 – 299 (1987)] to the case of dependent -sub-Gaussian random variables." @default.
- W3136387408 created "2021-03-29" @default.
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- W3136387408 date "2021-03-19" @default.
- W3136387408 modified "2023-10-18" @default.
- W3136387408 title "On the strong law of large numbers for ϕ-sub-Gaussian random variables" @default.
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- W3136387408 doi "https://doi.org/10.37863/umzh.v73i3.197" @default.
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