The law of the iterated logarithm and related results for weakly multiplicative systems

DOI10.1007/BF01919065zbMath0332.60015OpenAlexW1659914334MaRDI QIDQ1228132

Ferenc Móricz

Publication date: 1976

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01919065

Mathematics Subject Classification ID

Strong limit theorems (60F15)

Related Items (6)

Moment inequalities and the strong laws of large numbers ⋮ Some examples of application of the metric entropy method ⋮ Structural theorems for multiplicative systems of functions ⋮ Exponential estimates for the maximum of partial sums. I ⋮ A mean central limit theorem for weakly multiplicative systems and its application to lacunary trigonometric series ⋮ Generalized SLLN under weak multiplicative dependence restrictions

Cites Work

• Weighted sums of certain dependent random variables
• A law of the iterated logarithm for weakly multiplicative systems and its applications
• Convergence Properties of $S_n$ Under Moment Restrictions
• Convergence Rates for the Law of the Iterated Logarithm
• Some remarks on strongly multiplicative systems
• On the Convergence of Trigonometric Seri
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