Fastest marathon times achievable based on extreme value statistics

Malick Kebe and Saralees Nadarajah

Physica A: Statistical Mechanics and its Applications, 2024, vol. 652, issue C

Abstract: Marathons are one of the ultimate challenges of human endeavor. In this paper, we apply extreme value statistics to predict fastest marathon times achievable for ten marathons around the world and for both men and women. We concentrate on the theoretical minimum time for each gender at each venue, irrespective of who runs there. Thus, we measure the potential of each marathon, not the actual performance of the runners.

Keywords: Generalized extreme value distribution; Goodness of fit; Maximum likelihood (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:652:y:2024:i:c:s0378437124005788

DOI: 10.1016/j.physa.2024.130069

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