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Approximation and Simulation of the Distributions of Scan Statistics for Poisson Processes in Higher Dimensions
Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Mathematics and Computer Science, Department of Mathematics. Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Mathematics and Computer Science, Department of Mathematics, Mathematical Statistics. Matematisk statistik.
1998 (English)In: Extremes, Vol. 1, 111-126 p.Article in journal (Refereed) Published
Abstract [en]

Given a Poisson process in two or three dimensions we are interested in the scan statistic, i.e. the largest number of points contained in a translate of a fixed scanning set restricted to lie inside a rectangular area.

The distribution of the scan statistic is accurately approximated for rectangular scanning sets, using a technique that is also extended to higher dimensions.

The accuracy of the approximation is checked through simulation.

Place, publisher, year, edition, pages
1998. Vol. 1, 111-126 p.
Keyword [en]
Poisson process, scan statistic, approximation, simulation
National Category
Probability Theory and Statistics
Identifiers
URN: urn:nbn:se:uu:diva-22336OAI: oai:DiVA.org:uu-22336DiVA: diva2:50109
Available from: 2007-01-16 Created: 2007-01-16 Last updated: 2011-01-14

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Alm, Sven Erick

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