Number of appearances of events in random sequences: a new generating function approach to type II and type III runs

DOI10.1007/S10463-015-0549-2zbMath1365.62067OpenAlexW2465189802MaRDI QIDQ520571

Yong Kong

Publication date: 5 April 2017

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10463-015-0549-2

zbMATH Keywords

generating functionasymptotic distributionsfactorial momentsruns statisticsWilf-Zeilberger method

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Exact enumeration problems, generating functions (05A15) Probability distributions: general theory (60E05) Combinatorial probability (60C05)

Related Items (3)

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

Cites Work

• Runs, scans and urn model distributions: A unified Markov chain approach
• Distributions of Runs Revisited
• Number of appearances of events in random sequences: A new approach to non-overlapping runs
• Distribution Theory of Runs: A Markov Chain Approach
• Distribution of Runs and Longest Runs
• The Distribution Theory of Runs
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