Scan Statistics and Applications

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

Joseph Glaz has been appointed (effective July 1, 2011) as head of the Department of Statistics, University of Connecticut. He has co-authored several books. Glaz is the current editor-in-chief of the following Springer journal: Methodology and Computing in Applied Probability.
Honors and Awards include : election to the Connecticut Academy of Arts and Sciences (2011), elected fellow of the Institute of Mathematical Sciences (2009), AAUP Excellence in Research Award (2006), Abraham Wald Prize in Sequential Analysis (2006), elected fellow of the American Statistical Assoc. (2000), elected member of the International Statistical Institute (1999).
Most importantly, Joe Glaz has worked closely with Joseph Naus, the father of scan statistics, since this area of statistics was conceived around 1999. N. Balakrishnan is an Associate Director and Professor at Department of Aerospace Engineering and Supercomputer Edu- cation and Research Centre, Indian Institute of Science. His research interests include numerical electromagnetic, multi-parameter radars, and signal processing. His publications include 19 books and many peer-reviewed journal papers.

"...The subject can be quite exciting to probabilists, researchers and graduate students learning about these techniques in relation to scan statistics as a central point. The chapters are well written in a review style, discussing the main issues of scan statistics in a particular topic, and presenting the motivation and the main results, mostly without proving them. Proofs can be found in the related original papers. However, some hints and discussions are given on how to derive certain results. A few new results are scattered throughout. The book contains a useful short subject index..." -Mathematical Reviews

"...The subject can be quite exciting to probabilists, researchers and graduate students learning about these techniques in relation to scan statistics as a central point. The chapters are well written in a review style, discussing the main issues of scan statistics in a particular topic, and presenting the motivation and the main results, mostly without proving them. Proofs can be found in the related original papers. However, some hints and discussions are given on how to derive certain results. A few new results are scattered throughout. The book contains a useful short subject index..." -Mathematical Reviews

"The area of scan statistics is very complex with a variety of exciting theoretical results and plethora of useful applications. There are many techniques which can be used in solving problems in this area. Up to now the results were spread out in different journals. There was a need for a book consolidating the knowledge on scan statistics and providing a comprehensive survey of all the developments in this area of research. The book by Glaz and Balakrishnan achieves this and will serve as a basic reference for theoreticians and applied researchers involved or interested in scan statistics. It presents new results, describes applications of scan statistics, points out many challenging open problems for research and gives valuable references which might be of particular interest to graduate students...

To sum up, the book 'Scan Statistics and Applications,' edited by Glaz and Balakrishnan, contains excellent contributions. I enjoyed every chapter as well as the whole book. It would be interesting to have an update of the book in a few years to appreciate the developments and new results on scan statistics. The present edition of the book is good value for money."  -Extremes