Email this article The strong law of large numbers for a stationary sequence
- Authors: Petrov V.V.1
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Affiliations:
- St. Petersburg State University
- Issue: Vol 49, No 4 (2016)
- Pages: 371-372
- Section: Mathematics
- URL: https://journal-vniispk.ru/1063-4541/article/view/185630
- DOI: https://doi.org/10.3103/S1063454116040129
- ID: 185630
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Abstract
General results on the applicability of the strong law of large numbers to a sequence of dependent random variables, as formulated in terms of estimates for the moments of sums of such variables, are applied to give new conditions of the applicability of this law to (in a wide sense) a stationary sequence of random variables.
About the authors
V. V. Petrov
St. Petersburg State University
Author for correspondence.
Email: petrov2v@mail.ru
Russian Federation, Universitetskaya nab., 7–9, St. Petersburg, 199034
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