Developments of the Markov chain approach within the distribution theory of runs.

DOI10.1016/S0167-9473(00)00031-1zbMath1080.62559OpenAlexW2052274250MaRDI QIDQ5940876

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Publication date: 20 August 2001

Published in: Computational Statistics and Data Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-9473(00)00031-1

zbMATH Keywords

Quality controlAmino acids sequencesBernoulli random variablesFinite Markov chain imbedding approachScan statistics

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10) Applications of statistics (62P99)

Related Items (2)

On the dual reliability systems of \((n,f,k)\) and \(\langle n,f,k \rangle\) ⋮ Reliabilities for (n, f, k (i, j)) and ⟨n, f, k (i, j)⟩ Systems

Cites Work

• Unnamed Item
• New recursive methods for scan statistic probabilities
• On binomial distributions of order k
• Tight bounds and approximations for scan statistic probabilities for discrete data
• Reliabilities for \((n,f,k)\) systems
• Runs, scans and urn model distributions: A unified Markov chain approach
• Locating a changed segment in a sequence of Bernoulli variables
• Approximations for Distributions of Scan Statistics
• Distribution Theory of Runs: A Markov Chain Approach
• Power of the scan statistic in detecting a changed segment in a Bernoulli sequence
• The Distribution Theory of Runs
• On the Theory of Runs with some Applications to Quality Control

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