Joint distribution of rises, falls, and number of runs in random sequences

DOI10.1080/03610926.2017.1414261OpenAlexW2781887133MaRDI QIDQ5078256

Yong Kong

Publication date: 23 May 2022

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2017.1414261

zbMATH Keywords

generating functionruns statisticsGosper-Zeilberger methodEulerian number and Simon Newcomb numberpermutations of multi-setsrises, falls, and levels

Mathematics Subject Classification ID

Statistics (62-XX)

Related Items (3)

Distributions of successions of arbitrary multisets ⋮ Multiple consecutive runs of multi-state trials: distributions of \(( k_1 , k_2 , \dots , k_\ell )\) patterns ⋮ Decoupling combinatorial complexity: a two-step approach to distributions of runs

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• Permutations, Sequences and Special Functions
• Simon Newcomb’s Problem
• Distribution of Runs and Longest Runs
• The Distribution Theory of Runs
• Joint distribution of rises and falls

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