On the Rate of Convergence in the Strong Law of Large Numbers for Nonnegative Random Variables
- Authors: Korchevsky V.M.1
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Affiliations:
- Saint-Petersburg State University of Aerospace Instrumentation
- Issue: Vol 229, No 6 (2018)
- Pages: 719-726
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/240535
- DOI: https://doi.org/10.1007/s10958-018-3711-6
- ID: 240535
Cite item
Abstract
The rate of convergence in the strong law of large numbers for sequences of nonnegative random variables is studied without the independence assumption. Conditions for which an analog of the Baum–Katz theorem holds are obtained.
About the authors
V. M. Korchevsky
Saint-Petersburg State University of Aerospace Instrumentation
Author for correspondence.
Email: valery_ko@list.ru
Russian Federation, St.Petersburg
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