Scan Statistics With Weighted Observations

  title={Scan Statistics With Weighted Observations},
  author={Hock Peng Chan and Nancy Ruonan Zhang},
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… CONTINUE READING


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