The Inversion Number and the Major Index are Asymptotically Jointly Normally Distributed on Words

DOI10.1017/S0963548315000346zbMath1372.05005arXiv1302.6708MaRDI QIDQ5366903

Marko Thiel

Publication date: 10 October 2017

Published in: Combinatorics, Probability and Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.6708

Mathematics Subject Classification ID

Permutations, words, matrices (05A05) Asymptotic enumeration (05A16)

Related Items (2)

On a theorem of Baxter and Zeilberger via a result of Roselle ⋮ Central limit theorems for patterns in multiset permutations and set partitions

Uses Software

• MahonianStat

Cites Work

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• The Mahonian probability distribution on words is asymptotically normal
• Quadratic Transformation Formulas for Basic Hypergeometric Series
• On the Netto Inversion Number of a Sequence

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