Bringing closure to the plotting position controversy

Lasse Makkonen (Corresponding Author)

    Research output: Contribution to journalArticle

    49 Citations (Scopus)

    Abstract

    In this article, it is explicitly demonstrated that the probability of non exceedance of the mth value in n order ranked events equals m/(n + 1). Consequently, the plotting position in the extreme value analysis should be considered not as an estimate, but to be equal to m/(n + 1), regardless of the parent distribution and the application. The many other suggested plotting formulas and numerical methods to determine them should thus be abandoned. The article is intended to mark the end of the century-long controversial discussion on the plotting positions.
    Original languageEnglish
    Pages (from-to)460-467
    JournalCommunications in Statistics: Theory and Methods
    Volume37
    Issue number3
    DOIs
    Publication statusPublished - 2008
    MoE publication typeA1 Journal article-refereed

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    Keywords

    • cumulative distribution function
    • extreme value analysis
    • order ranking
    • plotting positions
    • probability

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