Scan Statistics

Scan Statistics by Joseph Glaz, Joseph Naus, Sylvan Wallenstein.

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 independ...

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Bibliographic Details
Main Authors: Glaz, Joseph (Author), Naus, Joseph (Author), Wallenstein, Sylvan (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: New York, NY : Springer New York : Imprint: Springer, 2001.
Edition:1st ed. 2001.
Series:Springer Series in Statistics,
Springer eBook Collection.
Subjects:
Statistics .
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • 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.

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