Extreme values and sporting data analysis

Julian Z. Wang, V. Pemajayantha, Robert Mellor, M. Shelton Peiris, Jay R. Rajasekera

    Research output: Chapter in Book / Conference PaperConference Paper

    Abstract

    ![CDATA[In sports competitions, the best performances by athletes are of interest. Thus, in extreme-value terms, the tail behaviour of the distribution of performance is the focus of our attention. Two extreme-value models, the model of extremes and the model of maxima, are outlined and the minimum distance method is used for both models in estimating the limits. The covariance matrix used in the estimation procedure in the model of maxima is difficult to calculate and becomes impossible to be obtained when the sample size is large. We suggest that it be replaced by the identity matrix. It is shown by simulation that this improves the accuracy of estimation. Applications are illustrated through examples with real data appropriate to the settings of the two models.]]
    Original languageEnglish
    Title of host publicationCurrent Research in Modelling, Data Mining & Quantitative Techniques
    PublisherUniversity of Western Sydney
    Number of pages13
    ISBN (Electronic)0975159909
    ISBN (Print)9780975159903
    Publication statusPublished - 2003
    EventWorkshop on Advanced Research Methods -
    Duration: 1 Jan 2003 → …

    Conference

    ConferenceWorkshop on Advanced Research Methods
    Period1/01/03 → …

    Keywords

    • Weibull distribution
    • extreme value theory
    • sports
    • statistical methods
    • multivariate analysis
    • parameter estimation

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