Approximation and Simulation of the Distributions of Scan Statistics for Poisson Processes in Higher Dimensions
1998 (English)In: Extremes, Vol. 1, 111-126 p.Article in journal (Refereed) Published
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.
Poisson process, scan statistic, approximation, simulation
Probability Theory and Statistics
IdentifiersURN: urn:nbn:se:uu:diva-22336OAI: oai:DiVA.org:uu-22336DiVA: diva2:50109