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Scan statistic

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Title: Scan statistic  
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Subject: Summary statistics, Statistics, Taylor's law, Environmental statistics, Ljung–Box test
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Scan statistic

In statistics, a scan statistic or window statistic is a problem relating to the clustering of randomly positioned points. An example of a typical problem is the maximum size of cluster of points on a line or the longest series of successes recorded by a moving window of fixed length.[1]

Joseph Naus first published on the problem in the 1960s,[2] and has been called the "father of the scan statistic" in honour of his early contributions.[3] The results can be applied in epidemiology, public health and astronomy to find unusual clusters of events.[4]

It was extended by Martin Kulldorff to multi-dimensional settings and varying window sizes in a 1997 paper,[5] which is (as of 11 October 2015) the most cited article in its journal, Communications in Statistics – Theory and Methods.[6]

References

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External links

  • SaTScan free software for the spatial, temporal and space-time scan statistics
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