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Lower Bounds for the Tail Probabilities of the Scan Statistic

  • J. Krauth
Part of the Studies in Classification, Data Analysis, and Knowledge Organization book series (STUDIES CLASS)

Abstract

The scan statistic is used for testing the null hypothesis of uniformity against clustering alternatives. Berman & Eagleson (1985) derived an upper bound for the tail probabilities which was improved by Krauth (1988) and Glaz (1989). Glaz (1989) also derived a lower bound, based on a result of Kwerel (1975). This article presents lower bounds for the scan statistic that are easier to compute. They are proved by the method of indicators or by a linear programming approach.

Keywords

Lower Bound Marked Point American Statistical Association Tail Probability Linear Programming Approach 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin · Heidelberg 1991

Authors and Affiliations

  • J. Krauth
    • 1
  1. 1.Department of PsychologyUniversity of DüsseldorfDüsseldorfGermany

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