Scan Statistics and Applications Book

	Preface
	Contributors
	List of Tables
	List of Figures
Pt. I	Introduction and Preliminaries
1	Introduction to Scan Statistics	3
Pt. II	Discrete Scan Statistics
2	Approximations for the Distribution and the Moments of Discrete Scan Statistics	27
3	Ratchet Scan and Disjoint Statistics	67
4	Scanning Multiple Sequences	97
Pt. III	Continuous Scan Statistics
5	Approximations of the Distributions of Scan Statistics of Poisson Processes	113
6	An Approach to Computations Involving Spacings With Applications to the Scan Statistic	141
7	Using Moments to Approximate the Distribution of the Scan Statistic	165
8	Applying Ballot Problem Results to Compute Probabilities Required for a Generalization of the Scan Statistic	191
9	Scan Statistic and Multiple Scan Statistic	203
10	On Poisson Approximation for Continuous Multiple Scan Statistics in Two Dimensions	225
Pt. IV	Applications
11	A Start-Up Demonstration Test Using a Simple Scan-Based Statistic	251
12	Applications of the Scan Statistic in DNA Sequence Analysis	269
13	On the Probability of Pattern Matching in Nonaligned DNA Sequences: A Finite Markov Chain Imbedding Approach	287
14	Spatial Scan Statistics: Models, Calculations, and Applications	303
	Index	323