Simple distribution-free statistical assessment of structural integrity material property data

Kim Wallin (Corresponding Author)

    Research output: Contribution to journalArticleScientificpeer-review

    4 Citations (Scopus)

    Abstract

    The assessment of structural integrity data requires a statistical assessment. However, most statistical analysis methods make some assumption regarding the underlying distribution. Here, a new distribution-free statistical assessment method based on a combination of Rank and Bimodal probability estimates is presented and shown to result in consistent estimates of different probability quantiles. The method is applicable for any data set expressed as a function of two parameters. Data for more than two parameters can always be expressed as different subsets varying only two parameters. In principle, this makes the method applicable to the analysis of more complex data sets. The strength in the statistical analysis method presented lies in the objectiveness of the result. There is no need to make any subjective assumptions regarding the underlying distribution, or of the relationship between the parameters considered.
    Original languageEnglish
    Pages (from-to)2070-2081
    Number of pages12
    JournalEngineering Fracture Mechanics
    Volume78
    Issue number9
    DOIs
    Publication statusPublished - 2011
    MoE publication typeA1 Journal article-refereed

    Fingerprint

    Structural integrity
    Materials properties
    Statistical methods

    Keywords

    • Rank probability
    • Binomial probability
    • Statistical assessment
    • Objective estimates
    • Lower bound estimates

    Cite this

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    Simple distribution-free statistical assessment of structural integrity material property data. / Wallin, Kim (Corresponding Author).

    In: Engineering Fracture Mechanics, Vol. 78, No. 9, 2011, p. 2070-2081.

    Research output: Contribution to journalArticleScientificpeer-review

    TY - JOUR

    T1 - Simple distribution-free statistical assessment of structural integrity material property data

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    AB - The assessment of structural integrity data requires a statistical assessment. However, most statistical analysis methods make some assumption regarding the underlying distribution. Here, a new distribution-free statistical assessment method based on a combination of Rank and Bimodal probability estimates is presented and shown to result in consistent estimates of different probability quantiles. The method is applicable for any data set expressed as a function of two parameters. Data for more than two parameters can always be expressed as different subsets varying only two parameters. In principle, this makes the method applicable to the analysis of more complex data sets. The strength in the statistical analysis method presented lies in the objectiveness of the result. There is no need to make any subjective assumptions regarding the underlying distribution, or of the relationship between the parameters considered.

    KW - Rank probability

    KW - Binomial probability

    KW - Statistical assessment

    KW - Objective estimates

    KW - Lower bound estimates

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    DO - 10.1016/j.engfracmech.2011.04.002

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