Multiple clusters on the line

DOI10.1080/03610928308828583zbMath0553.62050OpenAlexW2020759428MaRDI QIDQ3347124

Joseph Glaz, Joseph I. Naus

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1080/03610928308828583

zbMATH Keywords

order statisticscoincidencesvarianceepidemiologyexpectationnearest-neighborsrare diseasesmultiple clusters

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Applications of statistics to biology and medical sciences; meta analysis (62P10) Order statistics; empirical distribution functions (62G30)

Related Items (8)

Two-dimensional discrete scan statistics ⋮ Computing the exact distribution of the extremes of sums of consecutive spacings ⋮ A spatial scan statistic ⋮ Nonoverlapping Clusters: Approximate Distribution and Application to Molecular Biology ⋮ Multiple Temporal Cluster Detection ⋮ A cluster problem as defined by nearest neighbours ⋮ An Alternative Cluster Detection Test in Spatial Scan Statistics ⋮ Approximations for Multiple Scan Statistics on the Circle

Cites Work

• Classes of orderings of measures and related correlation inequalities. I. Multivariate totally positive distributions
• A simpler expression for Kth nearest neighbor coincidence probabilities
• On Bouman-Velden-Yamamoto's asymptotic evaluation formula for the probability of visual response in a certain experimental research in quantum-biophysics of vision
• THE MINIMUM OF HIGHER ORDER GAPS
• On some properties of the scan statistic on the circle and the line
• Association of Random Variables, with Applications
• Order statistics

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