Scan Statistics

Joseph Glaz, Joseph Naus, Sylvan Wallenstein

376 pages, parution le 10/01/2002

Ajouter à une liste

Indisponible

Résumé

In many statistical applications the scientists have to analyze the occurrence of observed clusters of events in time or space. The scientists are especially interested to determine whether an observed cluster of events has occurred by chance if it is assumed that the events are distributed independently and uniformly over time or space. Applications of scan statistics have been recorded in many areas of science and technology including: geology, geography, medicine, minefield detection, molecular biology, photography, quality control and reliability theory and radio-optics.

Contents

Preface

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

Index

Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Joseph Glaz, Joseph Naus, Sylvan Wallenstein
Parution	10/01/2002
Nb. de pages	376
Format	16 x 24,2
Couverture	Relié
Poids	671g
Intérieur	Noir et Blanc
EAN13	9780387988191
ISBN13	978-0-387-98819-1