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On the nonexistence of a law of the iterated logarithm for weighted sums of identically distributed random variables

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Publication:751708
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DOI10.1155/S1048953390000119zbMath0715.60038OpenAlexW2026030422MaRDI QIDQ751708

D. Kharzeev

Publication date: 1990

Published in: Journal of Applied Mathematics and Stochastic Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/46549


zbMATH Keywords

law of the iterated logarithmslowly varying at infinity


Mathematics Subject Classification ID

Strong limit theorems (60F15)


Related Items (8)

On the asymptotic behavior of sums of multidimensionally indexed semi-stable random variables ⋮ Weak laws of large numbers for weighted independent random variables with infinite mean ⋮ THE RANDOM FAIR GAMES PROBLEM ⋮ Strong convergence properties and strong stability for weighted sums of AANA random variables ⋮ Strong Limit Theorems for Weighted Sums of Negatively Associated Random Variables ⋮ On the strong convergence of weighted sums of widely dependent random variables ⋮ Laws of large numbers with infinite mean ⋮ The laws of large numbers for Pareto-type random variables with infinite means







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