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Title: Scan statistics with weighted observations
Authors: Chan, H.P. 
Zhang, N.R.
Keywords: Change of measure
DNA sequence
Importance sampling
Large deviation
Marked poisson process
Scan statistics
Issue Date: Jun-2007
Citation: Chan, H.P., Zhang, N.R. (2007-06). Scan statistics with weighted observations. Journal of the American Statistical Association 102 (478) : 595-602. ScholarBank@NUS Repository.
Abstract: We examine scan statistics for one-dimensional marked Poisson processes. Such statistics tabulate the maximum weighted count of event occurrences within a window of predetermined width over all windows within an observed interval. We derive analytical formulas and also give an importance sampling method for approximating the tail probabilities of scan statistics. Because high-throughput genomic sequencing has led to the availability of massive amounts of biomolecular sequence data, it is often of interest to search long DNA or protein sequences for local regions that are enriched for a certain characteristic. Thus scan statistics have become a useful tool in modern computational biology. We illustrate the application of our p value approximations with such examples. © 2007 American Statistical Association.
Source Title: Journal of the American Statistical Association
ISSN: 01621459
DOI: 10.1198/016214506000001392
Appears in Collections:Staff Publications

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