Peaks and Eulerian numbers in a random sequence

DOI10.2307/3215267zbMath0845.60035OpenAlexW2314802686MaRDI QIDQ4877407

Di Warren, Eugene Seneta

Publication date: 16 September 1996

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/3215267

zbMATH Keywords

circlecumulantsconvergence ratepermutationphasesEulerian numbers\(m\)-dependenceascentscentral limit propertypeaks and troughs

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Stationary stochastic processes (60G10) Characterization and structure theory of statistical distributions (62E10)

Related Items (15)

Central limit theorem for peaks of a random permutation in a fixed conjugacy class of \(S_n\) ⋮ Martingales and descent statistics ⋮ Random-allocation and urn models ⋮ Analysis of casino shelf shuffling machines ⋮ On arithmetic and asymptotic properties of up-down numbers ⋮ Introduction to partially ordered patterns ⋮ Floodings of metric graphs ⋮ Peaks are preserved under run-sorting ⋮ Equidistribution of set-valued statistics on standard Young tableaux and transversals ⋮ Peaks are preserved under run-sorting (extended abstract) ⋮ On distribution of the number of peaks and the Euler numbers of permutations ⋮ Hopf algebras and Markov chains: two examples and a theory ⋮ A central limit theorem for a new statistic on permutations ⋮ About randomised distributed graph colouring and graph partition algorithms ⋮ An asymptotic distribution theory for Eulerian recurrences with applications

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