Scan Statistics: Methods and Applications

1. Joseph Naus: Father of the Scan Statistic
2. Precedence-Type Tests for the Comparison of Treatments with a Control
3. Extreme Value Results for Scan Statistics
4. Boundary Crossing Probability Computations in the Analysis of Scan Statistics
5. Approximations for Two-Dimensional Variable Window Scan Statistics
6. Applications of Spatial Scan Statistics: A Review
7. Extensions of the Scan Statistic for the Detection and Inference of Spatial Clusters
8. 1-Dependent Stationary Sequences and Applications to Scan Statistics
9. Scan Statistics in Genome-Wide Scan for Complex Trait Loci
10. On Probabilities for Complex Switching Rules in Sampling Inspection
11. Bayesian Network Scan Statistics for Multivariate Pattern Detection
12. ULS Scan Statistic for Hotspot Detection with Continuous Gamma Response
13. False Discovery Control for Scan Clustering
14. Martingale Methods for Patterns and Scan Statistics
15. How Can Pattern Statistics Be Useful for DNA Motif Discovery?
16. Occurrence of Patterns and Motifs in Random Strings
17. Detection of Disease Clustering

Scan statistics is currently one of the most active and important areas of research in applied probability and statistics, having applications to a wide variety of fields: archaeology, astronomy, bioinformatics, biosurveillance, molecular biology, genetics, computer science, electrical engineering, geography, material sciences, physics, reconnaissance, reliability and quality control, telecommunication, and epidemiology. Filling a gap in the literature, this self-contained volume brings together a collection of selected chapters illustrating the depth and diversity of theory, methods and applications in the area of scan statistics.