On the strong law of large numbers and additive functions

DOI10.1007/S10998-011-5001-7zbMath1240.60055OpenAlexW2026594436MaRDI QIDQ653796

István Berkes, Wolfgang Müller, Michel J. G. Weber

Publication date: 19 December 2011

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10998-011-5001-7

zbMATH Keywords

strong law of large numbersstrongly additive functionsweighted i.i.d.\ sums

Mathematics Subject Classification ID

Strong limit theorems (60F15) Arithmetic functions; related numbers; inversion formulas (11A25)

Related Items (2)

On the law of large numbers and arithmetic functions ⋮ Ergodic theorems with arithmetical weights

Cites Work

• Small divisors of Bernoulli sums
• A law of the iterated logarithm for arithmetic functions
• A law of large numbers for arithmetic functions
• Convergence of weighted averages of independent random variables
• Über additive zahlentheoretische Funktionen.
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