Joint distribution of \(k\)-tuple statistics in zero-one sequences of Markov-dependent trials

DOI10.1186/s40488-017-0080-5zbMath1425.60016OpenAlexW2768017934WikidataQ59481726 ScholiaQ59481726MaRDI QIDQ1690091

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

Publication date: 18 January 2018

Published in: Journal of Statistical Distributions and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s40488-017-0080-5

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) Combinatorial probability (60C05)

Cites Work

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• Generalized waiting time distributions associated with runs
• On the length and the position of the minimum sequence containing all runs of ones in a Markovian binary sequence
• A simple compound scan statistic useful for modeling insurance and risk management problems
• Approximating the distributions of runs and patterns
• The concept of weak exchangeability and its applications
• Distribution of run statistics in partially exchangeable processes
• On success runs of a fixed length in Bernoulli sequences: exact and asymptotic results
• On runs of length exceeding a threshold: normal approximation
• Discrete time shock models involving runs
• On the distribution of runs of ones in binary strings
• Non-parametric randomness tests based on success runs of fixed length
• The exact distribution of the \(k\)-tuple statistic for sequence homology
• On the distribution of the total number of run lengths
• Central limit theorem approximations for the number of runs in Markov-dependent binary sequences
• Length of the minimum sequence containing repeats of success runs
• Some results associated with the longest run statistic in a sequence of Markov dependent trials
• On ℓ-overlapping Runs of Ones of Lengthkin Sequences of Independent Binary Random Variables
• Fitting Markov Chain Models to Discrete State Series such as DNA Sequences
• Distributions of statistics describing concentration of runs in non homogeneous Markov-dependent trials
• Central Limit Theorem Approximations for the Number of Runs in Markov-dependent Multi-type Sequences
• Success run statistics defined on an urn model
• The Distribution Theory of Runs
• Distributions of numbers of success runs of fixed length in Markov dependent trials

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