Number of appearances of events in random sequences: A new approach to non-overlapping runs

DOI10.1080/03610926.2014.968728zbMath1350.05007OpenAlexW2513745887MaRDI QIDQ2832667

Yong Kong

Publication date: 11 November 2016

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

Full work available at URL: https://doi.org/10.1080/03610926.2014.968728

zbMATH Keywords

generating functionasymptotic distributionsmatrixruns statistics

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 (5)

The \(m\)th longest runs of multivariate random sequences ⋮ 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 ⋮ Number of appearances of events in random sequences: a new generating function approach to type II and type III runs ⋮ Decoupling combinatorial complexity: a two-step approach to distributions of runs

Cites Work

• Specific formulae for some success run distributions
• Runs, scans and urn model distributions: A unified Markov chain approach
• Distribution of Runs and Longest Runs
• The Distribution Theory of Runs
• Distributions of numbers of success runs of fixed length in Markov dependent trials
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