Records in Athletics Through Extreme-Value Theory
AbstractIn this paper we shall be interested in two questions on extremes relating to world records in athletics.The first question is: what is the ultimate world record in a specific athletics event (such as the 100m for men or the high jump for women), given today's state of the art?Our second question is: how `good' is a current athletics world record?An answer to the second question will also enable us to compare the quality of world records in different athletics events. We shall consider these questions for each of twenty-eight events (fourteen for both men and women).We approach the two questions with the probability theory of extreme values and the corresponding statistical techniques.The statistical model is of nonparametric nature, but some `weak regularity' of the tail of the distribution function will be assumed.We will derive the limiting distribution of the estimated quality of a world record.While almost all attempts to predict an ultimate world record are based on the development of top performances over time, this will not be our method.Instead, we shall only use the top performances themselves.Our estimated ultimate world record tells us what, in principle, is possible now, given today's knowledge, material (shoes, suits, equipment), and drugs laws.
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Bibliographic InfoArticle provided by American Statistical Association in its journal Journal of the American Statistical Association.
Volume (Year): 103 (2008)
Issue (Month): 484 ()
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Other versions of this item:
- L83 - Industrial Organization - - Industry Studies: Services - - - Sports; Gambling; Restaurants; Recreation; Tourism
- C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
- C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
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- Einmahl, J. & Dekkers, A. & de Haan, L., 1989. "A moment estimator for the index of an extreme-value distribution," Open Access publications from Tilburg University urn:nbn:nl:ui:12-125712, Tilburg University.
- M. I. Bar�o & J. A. Tawn, 1999. "Extremal analysis of short series with outliers: sea-levels and athletics records," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 48(4), pages 469-487.
- Einmahl, J.H.J. & Smeets, S.G.W.R., 2011.
"Ultimate 100m world records through extreme-value theory,"
Open Access publications from Tilburg University
urn:nbn:nl:ui:12-4110140, Tilburg University.
- John H. J. Einmahl & Sander G. W. R. Smeets, 2011. "Ultimate 100‐m world records through extreme‐value theory," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 65(1), pages 32-42, 02.
- Einmahl, J.H.J. & Smeets, S.G.W.R., 2009. "Ultimate 100m World Records Through Extreme-Value Theory," Discussion Paper 2009-57, Tilburg University, Center for Economic Research.
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