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https://doi.org/10.1198/016214506000001392
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. https://doi.org/10.1198/016214506000001392 | 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 | URI: | http://scholarbank.nus.edu.sg/handle/10635/105347 | ISSN: | 01621459 | DOI: | 10.1198/016214506000001392 |
Appears in Collections: | Staff Publications |
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