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Variable Window Scan Statistics: Alternatives to Generalized Likelihood Ratio Tests

In: Handbook of Scan Statistics

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  • Lionel Cucala

    (University of Montpellier, Département de Mathématiques, Institut Montpelliérain Alexander Grothendieck)

Abstract

Classical variable window scan statistics are based on likelihood ratios issued from parametric models. However, these likelihood ratios do not give equal chances to all potential clusters. I introduce alternatives which do not suffer the same problem and describe their properties. I apply these methods to a classical epidemiological data set.

Suggested Citation

  • Lionel Cucala, 2024. "Variable Window Scan Statistics: Alternatives to Generalized Likelihood Ratio Tests," Springer Books, in: Joseph Glaz & Markos V. Koutras (ed.), Handbook of Scan Statistics, chapter 38, pages 741-756, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4614-8033-4_36
    DOI: 10.1007/978-1-4614-8033-4_36
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