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New software to analyze how extremes change over time

  • Eric Gilleland
  • , Richard W. Katz
    • National Center for Atmospheric Research

    Research output: Contribution to journalArticlepeer-review

    182 Scopus citations

    Abstract

    Average behavior is often studied, with well-developed techniques from the field of statistics allowing for inferences to be readily made. However, in many atmospheric, hydrologic, and other geophysical problems, extremes are of the greatest interest. The usual statistical methods for averages do not correctly inform scientists about extremes, but a more specialized area of statistical research focused on extremes can be applied instead. Where the normal distribution has theoretical support for use with averages, other forms of distribution have similar theoretical support for the extremes: the generalized extreme value (GEV) distribution for analyzing extreme statistics like annual maxima or minima, and the generalized Pareto (GP) distribution for excesses over a high threshold (or deficits below a low threshold) [e.g., Coles, 2001]. For more background on the statistics of geophysical extremes, especially those for weather and climate, see http://www.isse.ucar.edu/extremevalues/extreme.html.

    Original languageEnglish
    Pages (from-to)13-14
    Number of pages2
    JournalEos
    Volume92
    Issue number2
    DOIs
    StatePublished - 2011

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