Abstract
Much of the scanning literature focuses on unusual clusters of a given type of event in a single sequence of trials or time period. In this chapter, we discuss approaches to simultaneously scan multiple series. In one set of problems, there are multiple series corresponding to the occurrence of different types of events over the same period of time; the researcher looks for multiple-type clusters allowing for lagged effects between the different types of events. In the second set of problems, one scans multiple series looking for the largest common perfect or almost perfect match between all or most of the series. This second set of problems is of importance to molecular biologists searching for strong homologies in DNA sequences. Some related problems in two-dimensional scanning are mentioned.
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