On the strong law of large numbers for sequences of dependent random variables

DOI10.3103/S1063454110030040zbMath1253.60039MaRDI QIDQ1759472

Valentin V. Petrov, Valery M. Korchevsky

Publication date: 21 November 2012

Published in: Vestnik St. Petersburg University. Mathematics (Search for Journal in Brave)

zbMATH Keywords

strong law of large numberssequences of dependent random variablesstability of sums of random variables

Mathematics Subject Classification ID

Strong limit theorems (60F15)

Related Items (12)

Web renewal counting processes and their applications in insurance ⋮ Precise large deviation for sums of sub-exponential claims with the \(m\)-dependent semi-Markov type structure ⋮ A strong law of large numbers for nonnegative random variables and applications ⋮ On the strong law of large numbers for sequences of random variables without the independence condition ⋮ Convergence rate in the Petrov SLLN for dependent random variables ⋮ Several properties of a nonstandard renewal counting process and their applications ⋮ Large deviations for sums of claims in a general renewal risk model with the regression dependent structure ⋮ Precise large deviations of aggregate claims in a risk model with regression-type size-dependence ⋮ On a strong law of large numbers for monotone measures ⋮ Unnamed Item ⋮ A generalization of the Petrov strong law of large numbers ⋮ On the rate of convergence in the strong law of large numbers for nonnegative random variables

Cites Work

• On the laws of large numbers for nonnegative random variables
• Stability of sums of weighted nonnegative random variables
• Unnamed Item

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