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Scan Statistics: Methods and Applications

✍ Scribed by Sylvan Wallenstein (auth.), Joseph Glaz, Vladimir Pozdnyakov, Sylvan Wallenstein (eds.)


Publisher
Birkhäuser Basel
Year
2009
Tongue
English
Leaves
410
Series
Statistics for Industry and Technology
Edition
1
Category
Library

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✦ Synopsis


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.

Key features:


* Chapters are written by leading experts in the field.

* Features many current results and highlights new directions for future research.

* Includes challenging theoretical methodological research problems.

* Presentation is accessible to statisticians as well as to scientists from other disciplines where scan statistics are employed.

* Real-world applications to areas such as bioinformatics and biosurveillance are emphasized.

* Contains extensive references to research articles, books, and relevant computer software.

Scan Statistics is an excellent reference for graduate students and researchers in applied probability and statistics, as well as for scientists in biology, computer science, pharmaceutical science, medicine, geography, quality control, communications, and epidemiology. The work may also be used as a textbook for a graduate-level seminar on scan statistics.

✦ Table of Contents


Front Matter....Pages i-xxviii
Joseph Naus: Father of the Scan Statistic....Pages 1-25
Precedence-Type Tests for the Comparison of Treatments with a Control....Pages 27-54
Extreme Value Results for Scan Statistics....Pages 55-85
Boundary Crossing Probability Computationsin the Analysis of Scan Statistics....Pages 87-108
Approximations for Two-Dimensional Variable Window Scan Statistics....Pages 109-128
Applications of Spatial Scan Statistics: A Review....Pages 129-152
Extensions of the Scan Statistic for the Detection and Inference of SpatialClusters....Pages 153-177
1-Dependent Stationary Sequences and Applications to Scan Statistics....Pages 179-193
Scan Statistics in Genome-Wide Scan for Complex Trait Loci....Pages 195-202
On Probabilities for Complex Switching Rules in Sampling Inspection....Pages 203-219
Bayesian Network Scan Statistics for Multivariate Pattern Detection....Pages 221-249
ULS Scan Statistic for Hotspot Detection with Continuous Gamma Response....Pages 251-270
False Discovery Control for Scan Clustering....Pages 271-287
Martingale Methods for Patterns and Scan Statistics....Pages 289-317
How Can Pattern Statistics Be Useful for DNA Motif Discovery?....Pages 319-350
Occurrence of Patterns and Motifs in Random Strings....Pages 351-367
Detection of Disease Clustering....Pages 369-391
Back Matter....Pages 393-394

✦ Subjects


Statistical Theory and Methods; Statistics for Life Sciences, Medicine, Health Sciences; Probability Theory and Stochastic Processes; Physiological, Cellular and Medical Topics; Probability and Statistics in Computer Science; Application


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