Closure to "Problems in the extreme value analysis" (Struct. Safety 2008:30:405-419)

Lasse Makkonen (Corresponding Author), Matti Pajari, Maria Tikanmäki

    Research output: Contribution to journalArticleScientificpeer-review

    11 Citations (Scopus)

    Abstract

    Extreme value analysis (EVA) is an essential part of the statistical methodology for securing structural safety. Makkonen [3] argued that the estimators of the plotting position in EVA should be abandoned and replaced by the Weibull expression m/(N + 1). In a rebuttal Cook [5] challenged this development. Here we prove by the probability theory that the Weibull expression provides the rank probability exactly. This shows that no estimators of the plotting positions are necessary. We also comment on the specific criticism to [3] in [5] and outline the foundations of the correct methodology.
    Original languageEnglish
    Pages (from-to)65-67
    Number of pages3
    JournalStructural Safety
    Volume40
    DOIs
    Publication statusPublished - 2013
    MoE publication typeA1 Journal article-refereed

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    Keywords

    • Extreme value analysis
    • extremes
    • order-statistics
    • plotting positions
    • probability theory

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