The law of the iterated logarithm for random permutations

DOI10.1007/BF02465552zbMath0930.60015OpenAlexW2005570889MaRDI QIDQ1280864

Eugenijus Manstavicius

Publication date: 27 April 1999

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02465552

zbMATH Keywords

permutationslaw of the iterated logarithmadditive functions

Mathematics Subject Classification ID

Strong limit theorems (60F15) Arithmetic functions in probabilistic number theory (11K65)

Related Items (11)

Unnamed Item ⋮ Strong convergence on weakly logarithmic combinatorial assemblies ⋮ A limit theorem for additive functions defined on the symmetric group ⋮ The Poisson distribution for linear statistics of random permutations ⋮ The law of iterated logarithm for logarithmic combinatorial assemblies ⋮ The Strassen law of iterated logarithm for combinatorial assemblies ⋮ Total variation approximation for random assemblies and a functional limit theorem ⋮ Moments of additive functions on random permutations ⋮ An analogue of Feller's theorem for logarithmic combinatorial assemblies ⋮ Asymptotic value distribution of additive functions defined on the symmetric group ⋮ Stochastic processes with independent increments for random mappings

Cites Work

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• Random permutations and Brownian motion
• Law of the iterated logarithm in the Strassen formulation and additive functions
• The cycle structure of random permutations
• Strong approximation theorems for independent random variables and their applications
• Additive and multiplicative functions on random permutations
• The sampling theory of selectively neutral alleles
• On some problems of a statistical group-theory. I
• Generalized moments of additive functions
• On the law of the iterated logarithm

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