Records in Athletics Through Extreme-Value Theory

CentER Discussion Paper Series No. 2006-83

17 Pages Posted: 12 Oct 2006

See all articles by John H. J. Einmahl

John H. J. Einmahl

Tilburg University - Department of Econometrics & Operations Research

J.R. Magnus

Vrije Universiteit Amsterdam, School of Business and Economics

Date Written: September 2006

Abstract

In 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.

Keywords: Endpoint estimation, exceedance probability, ranking, statistics of extremes, world record

JEL Classification: L83, C13, C14

Suggested Citation

Einmahl, John H. J. and Magnus, Jan R., Records in Athletics Through Extreme-Value Theory (September 2006). Available at SSRN: https://ssrn.com/abstract=936923 or http://dx.doi.org/10.2139/ssrn.936923

John H. J. Einmahl (Contact Author)

Tilburg University - Department of Econometrics & Operations Research ( email )

P.O. Box 90153
5000 LE Tilburg
Netherlands

Jan R. Magnus

Vrije Universiteit Amsterdam, School of Business and Economics ( email )

De Boelelaan 1105
Amsterdam, 1081HV
Netherlands

Register to save articles to
your library

Register

Paper statistics

Downloads
541
Abstract Views
2,547
rank
50,589
PlumX Metrics