Extreme values of permutation statistics

DOI10.37236/12465zbMATH Open1546.60098MaRDI QIDQ6614163

Philip Dörr, Thomas Kahle

Publication date: 7 October 2024

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

zbMATH Keywords

finite Coxeter groupsMahonian and Eulerian distributions

Mathematics Subject Classification ID

Extreme value theory; extremal stochastic processes (60G70) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Asymptotic enumeration (05A16) Algebraic statistics (62R01)

Cites Work

• A limiting distribution for maxima of discrete stationary triangular arrays with an application to risk due to avalanches
• Discretization of distributions in the maximum domain of attraction
• A new method of normal approximation
• Generalized descents and normality
• Extremes and related properties of random sequences and processes
• The distribution of descents in fixed conjugacy classes of the symmetric groups
• \(q\)-Eulerian polynomials arising from Coxeter groups
• Maxima of Poisson-like variables and related triangular arrays
• Table of the ratio: Area to bounding ordinate, for any portion of the normal curve.
• A central limit theorem for a new statistic on permutations
• A note on random permutations and extreme value distributions
• Central limit theorem for descents in conjugacy classes of \(S_n\)
• A central limit theorem for the two-sided descent statistic on Coxeter groups
• A central limit theorem for descents of a Mallows permutation and its inverse
• On the central limit theorem for the two-sided descent statistics in Coxeter groups
• Asymptotics of a locally dependent statistic on finite reflection groups
• Central and local limit theorems applied to asymptotic enumeration
• Sur un nouveau théorème-limite de la théorie des probabilités.
• Normal approximations for descents and inversions of permutations of multisets
• Asymptotic Statistics
• The Complete Enumeration of Finite Groups of the Form Ri2=(RiRj)kij=1
• Counting inversions and descents of random elements in finite Coxeter groups
• Large Deviations for Sums of Independent Non Identically Distributed Random Variables
• The 𝐬-Eulerian polynomials have only real roots
• Generalization of a Probability Limit Theorem of Cramer
• Central limit theorems for generalized descents and generalized inversions in finite root systems

This page was built for publication: Extreme values of permutation statistics

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6614163)