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A Hypothesis‐Free Multiple Scan Statistic with Variable Window
Author(s) -
Cucala L.
Publication year - 2008
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.200710412
Subject(s) - scan statistic , statistic , cluster (spacecraft) , window (computing) , variable (mathematics) , statistics , computer science , order statistic , mathematics , algorithm , econometrics , mathematical analysis , programming language , operating system
Abstract In this article we propose a new technique for identifying clusters in temporal point processes. This relies on the comparision between all the m ‐order spacings and it is totally independent of any alternative hypothesis. A recursive procedure is introduced and allows to identify multiple clusters independently. This new scan statistic seems to be more efficient than the classical scan statistic for detecting and recovering cluster alternatives. These results have applications in epidemiological studies of rare diseases. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)