Distribution of Runs and Longest Runs

DOI10.1198/016214505000001401zbMath1120.62302OpenAlexW1975404289WikidataQ56794644 ScholiaQ56794644MaRDI QIDQ5755036

Yong Kong

Publication date: 20 August 2007

Published in: Journal of the American Statistical Association (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1198/016214505000001401

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10) Exact distribution theory in statistics (62E15) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Combinatorial probability (60C05)

Related Items (13)

The \(m\)th longest runs of multivariate random sequences ⋮ Joint distribution of rises, falls, and number of runs in random sequences ⋮ Distributions of successions of arbitrary multisets ⋮ Multiple consecutive runs of multi-state trials: distributions of \(( k_1 , k_2 , \dots , k_\ell )\) patterns ⋮ Run statistics in a sequence of arbitrarily dependent binary trials ⋮ Distribution of runs in a sequence of exchangeable multi-state trials ⋮ Number of appearances of events in random sequences: a new generating function approach to type II and type III runs ⋮ Distribution of run statistics in partially exchangeable processes ⋮ Decoupling combinatorial complexity: a two-step approach to distributions of runs ⋮ Distributions of positive signals in pyrosequencing ⋮ Distributions of Runs Revisited ⋮ Number of appearances of events in random sequences: A new approach to non-overlapping runs ⋮ Run Statistics Defined on the Multicolor URN Model

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