Limit behavior of order statistics on cycle lengths of random \(A\)-permutations

DOI10.1137/S0040585X97T991787MaRDI QIDQ6496905

Arsen L. Yakymiv

Publication date: 6 May 2024

Published in: Theory of Probability and its Applications (Search for Journal in Brave)

zbMATH Keywords

order statisticsrandom \(A\)-permutationordered sample for cycle length of permutation

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05) Permutations, words, matrices (05A05)

Cites Work

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• Total variation approximation for random assemblies and a functional limit theorem
• Random combinatorial objects
• Logarithmic combinatorial structures: A probabilistic approach
• Poisson approximation and the Chen-Stein method. With comments and a rejoinder by the authors
• The sampling theory of selectively neutral alleles
• Some nonequiprobable models of random permutations
• A limit theorem for the logarithm of the order of a random A-permutation
• Mappings of a Finite Set with Limitations on Contours and Height
• ASYMPTOTIC NORMALITY OF SOME VARIABLES CONNECTED WITH THE CYCLIC STRUCTURE OF RANDOM PERMUTATIONS
• Limits of Admissibility of Normal Approximations to the Poisson Distribution
• Probabilistic Methods in Combinatorial Analysis
• On the Order of Random Permutation with Cycle Weights
• Random Mappings with Component Sizes from a Given Set
• On the field of combinatory analysis
• Random permutations: the general parametric model
• On the distribution of the mth maximal cycle lengths of random A-permutations
• Ordered Cycle Lengths in a Random Permutation
• Probabilistic Applications of Tauberian Theorems

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