On the length and the position of the minimum sequence containing all runs of ones in a Markovian binary sequence

DOI10.1016/j.spl.2016.03.011zbMath1376.60068OpenAlexW2343933181MaRDI QIDQ297140

Zaharias M. Psillakis, Frosso S. Makri, Anastasios N. Arapis

Publication date: 24 June 2016

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2016.03.011

zbMATH Keywords

Markov chainbinary trialsexact distributionsruns

Mathematics Subject Classification ID

Exact distribution theory in statistics (62E15) Probability distributions: general theory (60E05) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20)

Related Items (4)

On the concentration of runs of ones of length exceeding a threshold in a Markov chain ⋮ Distributions of statistics describing concentration of runs in non homogeneous Markov-dependent trials ⋮ On success runs in a sequence of dependent trials with a change point ⋮ Joint distribution of \(k\)-tuple statistics in zero-one sequences of Markov-dependent trials

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