Variance of additive functions defined on random assemblies

DOI10.1007/s10986-017-9356-1zbMath1383.60015arXiv1605.04239OpenAlexW2963966419MaRDI QIDQ2401240

Vytautas Stepas, Eugenijus Manstavicius

Publication date: 31 August 2017

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

Full work available at URL: https://arxiv.org/abs/1605.04239

zbMATH Keywords

momentsadditive functionTurán-Kubilius inequalitylabeled decomposable structure

Mathematics Subject Classification ID

Combinatorial probability (60C05) Asymptotic enumeration (05A16)

Related Items (5)

Moment characteristics of a random mapping with restrictions on component sizes ⋮ Variance of the number of cycles of random \(A\)-permutation ⋮ Random mappings with constraints on the cycle lengths ⋮ Asymptotics with remainder term for moments of the total cycle number of random \(A\)-permutation ⋮ Sharp bounds for the variance of linear statistics on random permutations

Cites Work

• Total variation approximation for random assemblies and a functional limit theorem
• Spatial random permutations with small cycle weights
• Restrictive patterns of combinatorial structures via comparative analysis
• Logarithmic combinatorial structures: A probabilistic approach
• The Turán-Kubilius inequality for additive arithmetic semigroups
• The sampling theory of selectively neutral alleles
• Mappings on Decomposable Combinatorial Structures: Analytic Approach
• A Turán-Kubilius Inequality on Mappings of a Finite Set
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