Scan Statistics

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.