Approximations and Bounds for the Distribution of the Scan Statistic

DOI10.2307/2289943zbMath0677.62015OpenAlexW4233490844MaRDI QIDQ3833413

Joseph Glaz

Publication date: 1989

Full work available at URL: https://doi.org/10.2307/2289943

zbMATH Keywords

approximationssimulation studyscan statisticproduct-type boundsBonferroni-type boundsscanning windowclustering alternativenull hypothesis of uniformity

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Exact distribution theory in statistics (62E15) Applications of statistics (62P99)

Related Items (10)

On a waiting time distribution in a sequence of Bernoulli trials ⋮ Runs, scans and urn model distributions: A unified Markov chain approach ⋮ Computing the exact distribution of the extremes of sums of consecutive spacings ⋮ New recursive methods for scan statistic probabilities ⋮ Discrete, Continuous and Conditional Multiple Window Scan Statistics ⋮ Sequential Window Problems ⋮ Bonferroni-type inequalities for conditional scan statistics ⋮ Approximations for tail probabilities and moments of the scan statistic ⋮ Poisson approximation in connection with clustering of random points ⋮ p-values for the Discrete Scan Statistic through Slack Variables

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