The convergence rate to the normal law of a certain variable defined on random polynomials

DOI10.1023/A:1015077919456zbMath1015.60021OpenAlexW10017087MaRDI QIDQ1873241

Vytas Zacharovas

Publication date: 19 May 2003

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

Full work available at URL: https://doi.org/10.1023/a:1015077919456

zbMATH Keywords

convergence ratenormal lawrandom permutationsplitting fieldrandom polynomialsorder of permutation

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Probability theory on algebraic and topological structures (60B99)

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On Statistics of Permutations Chosen From the Ewens Distribution ⋮ Strong convergence on weakly logarithmic combinatorial assemblies ⋮ The Poisson distribution for linear statistics of random permutations ⋮ Limit theorems for the logarithm of the order of a random \(A\)-mapping ⋮ The law of iterated logarithm for logarithmic combinatorial assemblies ⋮ Moments of additive functions on random permutations ⋮ Asymptotic value distribution of additive functions defined on the symmetric group

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