I Methods and Applications. - 1 Introduction. - 2 Retrospective Scanning of Events Over Time. - 3 Prospective Scanning of Events Over Time. - 4 Success Scans in a Sequence of Trials. - 5 Higher-Dimensional Scans. - 6 Scan Statistics in DNA and Protein Sequence Analysis. - II Scan Distribution Theory and its Developments. - 7 Approaches Used for Derivations and Approximations. - 8 Scanning N Uniform Distributed Points: Exact Results. - 9 Scanning N Uniform Distributed Points: Bounds. - 10 Approximations for the Conditional Case. - 11 Scanning Points in a Poisson Process. - 12 The Generalized Birthday Problem. - 13 Scan Statistics for a Sequence of Discrete I. I. D. Variates. - 14 Power. - 15 Testing for Clustering. - 16 Two-Dimensional Scan Statistics. - 17 Number of Clusters: Ordered Spacings. - 18 Extensions of the Scan Statistic. - References. Language: English