Estimation for the Distribution of Two-dimensional Discrete Scan Statistics

G. Haiman () and C. Preda ()
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G. Haiman: Université de Lille 1
C. Preda: Faculté de Médecine Université de Lille 2

Methodology and Computing in Applied Probability, 2006, vol. 8, issue 3, 373-382

Abstract: Abstract This paper concerns the application of the method introduced in (Haiman, Extremes, 3:349–361, 2000) to estimate the distribution of two-dimensional discrete scan statistics. This method makes it possible to establish sharp bounds for the estimation errors. The method involves the estimation by simulation of the distribution of scan statistics for the particular rectangle sets of size 2×2, 2×3, 3×3, where the unit is the (m 1×m 2) dimension of the rectangular scanning window, m 1, m 2 ∈ℕ. We perform several numerical applications and compare our results with results obtained by other authors.

Keywords: Discrete scan statistics; Approximation; Simulation; Primary 60G55; 60G70; Secondary 62E17 (search for similar items in EconPapers)
Date: 2006
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s11009-006-9752-1

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