Longest run of consecutive observations having a specified attribute
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Publication:5344599
DOI10.1093/biomet/48.3-4.461zbMath0134.15002OpenAlexW2046311765MaRDI QIDQ5344599
Publication date: 1961
Published in: Biometrika (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1093/biomet/48.3-4.461
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Some results associated with the longest run statistic in a sequence of Markov dependent trials ⋮ Simple expressions for success run distributions in Bernoulli trials ⋮ Success run waiting times and Fuss-Catalan numbers ⋮ Applications of Fuss-Catalan numbers to success runs of Bernoulli trials ⋮ The \(m\)th longest runs of multivariate random sequences ⋮ On the longest length of consecutive integers ⋮ Specific formulae for some success run distributions ⋮ Useful inequalities for the longest run distribution ⋮ Shortest and longest length of success runs in binary sequences ⋮ A comparison of performance measures for online algorithms ⋮ Successes, runs and longest runs ⋮ Successes, runs and longest runs ⋮ A test statistic for weighted runs ⋮ A note on runs of geometrically distributed random variables ⋮ Success run statistics defined on an urn model ⋮ On exact and large deviation approximation for the distribution of the longest run in a sequence of two-state Markov dependent trials ⋮ Approximating the tail probabilities of the longest run in a sequence of Bernoulli trials ⋮ Recursive stability analysis of linear regression relationships. An exploratory methodology ⋮ Distribution theory of runs via exchangeable random variables
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