Testing for Clustering Superimposed on a Nonuniform Density and Related Generalizations of Ballot Problems

  • Joseph Glaz
  • Joseph Naus
  • Sylvan Wallenstein
Chapter
Part of the Springer Series in Statistics book series (SSS)

Abstract

The scan statistics presented until now test the null hypothesis of uniformity again a pulse alternative. In this chapter, we modify the scan statistics to detect a cluster superimposed on temporal or seasonal trends. Attention will be focused on the conditional continuous case, but similar procedures could be used for the discrete statistic.

Keywords

Exact Distribution Related Generalization Generalize Likelihood Ratio Test Influential Observation Finite Markov Chain 
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Copyright information

© Springer Science+Business Media New York 2001

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

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