Approximations for Multiple Scan Statistics on the Circle

DOI10.1080/03610926.2013.771746zbMath1462.62101OpenAlexW2095021856MaRDI QIDQ2876223

Chien-Tai Lin

Publication date: 18 August 2014

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2013.771746

zbMATH Keywords

symbolic computationspacingscompound Poisson approximationMarkov chain approximation

Mathematics Subject Classification ID

Exact distribution theory in statistics (62E15) Approximations to statistical distributions (nonasymptotic) (62E17)

Cites Work

• Poisson approximations for \(r\)-scan processes
• Computing the exact distribution of the extremes of sums of consecutive spacings
• Multiple clusters on the line
• Divided differences and the joint distribution of linear combinations of spacings
• On some properties of the scan statistic on the circle and the line
• Compound poisson approximations for the numbers of extreme spacings
• A simple test for uniformity of a circular distribution
• Bonferroni-type inequalities for conditional scan statistics

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