Two-dimensional discrete scan statistics

Jie Chen and Joseph Glaz

Statistics & Probability Letters, 1996, vol. 31, issue 1, 59-68

Abstract: This article investigates the accuracy of approximations for distributions of two-dimensional discrete scan statistics. A product-type approximation, a Bonferroni-type inequality, two Poisson approximations and a compound Poisson approximation are studied. A simulation study is presented to evaluate the accuracy of these approximations. Based on the numerical results it is evident that the standard Poisson approximation can be significantly improved.

Keywords: Bonferroni-type; inequality; Compound; Poisson; approximation; Moving; window; detection; Multiple; scan; statistic; Poisson; approximations; Product-type; approximation; Testing; uniformity; in; two; dimensions (search for similar items in EconPapers)
Date: 1996
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Citations: View citations in EconPapers (10)

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