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Scan Statistics

  • Joseph Glaz
  • Joseph Naus
  • Sylvan Wallenstein

Part of the Springer Series in Statistics book series (SSS)

Table of contents

  1. Front Matter
    Pages i-xv
  2. Methods and Applications

    1. Front Matter
      Pages 1-1
    2. Joseph Glaz, Joseph Naus, Sylvan Wallenstein
      Pages 3-9
    3. Joseph Glaz, Joseph Naus, Sylvan Wallenstein
      Pages 11-23
    4. Joseph Glaz, Joseph Naus, Sylvan Wallenstein
      Pages 25-42
    5. Joseph Glaz, Joseph Naus, Sylvan Wallenstein
      Pages 43-60
    6. Joseph Glaz, Joseph Naus, Sylvan Wallenstein
      Pages 61-79
    7. Joseph Glaz, Joseph Naus, Sylvan Wallenstein
      Pages 81-96
  3. Scan Distribution Theory and its Developments

    1. Front Matter
      Pages 97-97
    2. Joseph Glaz, Joseph Naus, Sylvan Wallenstein
      Pages 99-112
    3. Joseph Glaz, Joseph Naus, Sylvan Wallenstein
      Pages 113-140
    4. Joseph Glaz, Joseph Naus, Sylvan Wallenstein
      Pages 141-159
    5. Joseph Glaz, Joseph Naus, Sylvan Wallenstein
      Pages 161-184
    6. Joseph Glaz, Joseph Naus, Sylvan Wallenstein
      Pages 185-199
    7. Joseph Glaz, Joseph Naus, Sylvan Wallenstein
      Pages 201-220
    8. Joseph Glaz, Joseph Naus, Sylvan Wallenstein
      Pages 221-242
    9. Joseph Glaz, Joseph Naus, Sylvan Wallenstein
      Pages 243-259
    10. Joseph Glaz, Joseph Naus, Sylvan Wallenstein
      Pages 273-300
    11. Joseph Glaz, Joseph Naus, Sylvan Wallenstein
      Pages 301-312
    12. Joseph Glaz, Joseph Naus, Sylvan Wallenstein
      Pages 313-332
  4. Erratum

    1. Joseph Glaz, Joseph Naus, Sylvan Wallenstein
      Pages 375-375
    2. Joseph Glaz, Joseph Naus, Sylvan Wallenstein
      Pages 375-375
    3. Joseph Glaz, Joseph Naus, Sylvan Wallenstein
      Pages 375-375
    4. Joseph Glaz, Joseph Naus, Sylvan Wallenstein
      Pages 375-375
  5. Back Matter
    Pages 333-373

About this book

Introduction

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.

Keywords

Poisson process Random variable Scan Statistics calculus clustering statistics

Authors and affiliations

  • Joseph Glaz
    • 1
  • Joseph Naus
    • 2
  • Sylvan Wallenstein
    • 3
  1. 1.Department of Statistics The College of Liberal Arts and SciencesUniversity of ConnecticutStorrsUSA
  2. 2.Department of Statistics RutgersThe State University of New JerseyPiscatawayUSA
  3. 3.Department of Biomathematical SciencesMount Sinai School of MedicineNew YorkUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4757-3460-7
  • Copyright Information Springer-Verlag New York 2001
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4419-3167-2
  • Online ISBN 978-1-4757-3460-7
  • Series Print ISSN 0172-7397
  • Buy this book on publisher's site
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