Extension of runs to the continuous-valued sequences

DOI10.1016/J.SPL.2006.08.004zbMath1284.62117OpenAlexW2071050959MaRDI QIDQ876979

Serkan N. Eryılmaz

Publication date: 19 April 2007

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

Full work available at URL: https://doi.org/10.1016/j.spl.2006.08.004

zbMATH Keywords

asymptotic distributionwaiting time\(m\)-dependent random variables\(\varepsilon\)-increasing run\(\varepsilon\)-neighbourhood

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20)

Related Items (8)

Weak runs in sequences of binary trials ⋮ Runs based on records: their distributional properties and an application to testing for dispersive ordering ⋮ Limit theorems for runs based on `small spacings' ⋮ On runs of length exceeding a threshold: normal approximation ⋮ Runs in continuous-valued sequences ⋮ Runs in an ordered sequence of random variables ⋮ Some limit theorems of runs to the continuous‐valued sequence ⋮ Runs Based on the Ratios of Consecutive Order Statistics

Cites Work

• The central limit theorem for dependent random variables
• The Distribution Theory of Runs
• On the Theory of Runs with some Applications to Quality Control
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