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 language | English |
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Title of host publication | Current Research in Modelling, Data Mining & Quantitative Techniques |
Publisher | University of Western Sydney |
Number of pages | 13 |
ISBN (Electronic) | 0975159909 |
ISBN (Print) | 9780975159903 |
Publication status | Published - 2003 |
Event | Workshop on Advanced Research Methods - Duration: 1 Jan 2003 → … |
Conference
Conference | Workshop on Advanced Research Methods |
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Period | 1/01/03 → … |
Keywords
- Weibull distribution
- extreme value theory
- sports
- statistical methods
- multivariate analysis
- parameter estimation