Two-dimensional discrete scan statistics

DOI10.1016/0167-7152(95)00014-3zbMath0880.62014OpenAlexW1971327482WikidataQ126635694 ScholiaQ126635694MaRDI QIDQ1359700

Joseph Glaz, Jie Chen

Publication date: 5 February 1998

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

Full work available at URL: https://doi.org/10.1016/0167-7152(95)00014-3

zbMATH Keywords

tablesPoisson approximationscompound Poisson approximationmoving window detectionproduct-type approximationBonferroni-type inequalitymultiple scan statistictesting uniformity in two dimensions

Mathematics Subject Classification ID

Directional data; spatial statistics (62H11) Approximations to statistical distributions (nonasymptotic) (62E17)

Related Items (16)

Compound Poisson approximation: A user's guide ⋮ Spatially Clustered Outbreak Detection Using the EWMA SCAN Statistics with Multiple Sized Windows ⋮ Optimal and fast detection of spatial clusters with scan statistics ⋮ Two-dimensional discrete scan statistics ⋮ Estimation for the distribution of two-dimensional discrete scan statistics ⋮ Approximations for a three dimensional scan statistic ⋮ Approximations for two-dimensional discrete scan statistics in some block-factor type dependent models ⋮ Bayesian variable window scan statistics ⋮ Geographic and network surveillance via scan statistics for critical area detection ⋮ Importance sampling for spatial scan analysis: computing scan statistic \(p-\)values for marked point processes. ⋮ Asymptotic results for jump probabilities associated to the multiple scan statistic ⋮ Spatial point process models of defensive strategies: detecting changes ⋮ A Tree-Based Scan Statistic for Database Disease Surveillance ⋮ Scan statistics on Enron graphs ⋮ Variable Window Scan Statistics for Normal Data ⋮ Approximations for a conditional two-dimensional scan statistic.

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