Statistical analysis may help answer some intriguing questions in athletics, such as when the current world records will be improved. Sport records are extreme observations, which can be analyzed through extreme value theory. However, modeling is only one part of the problem, since estimation is also troubled by small sample issues. Here, we present some improved estimates of the expected time to break the record. The property needed for this task is probabilistic calibration. Bootstrap-based approaches can help assess and recover this property to improve predictions. We show that, thanks to improved estimates, the near future is richer in new records than suggested by the classical estimates.

Predicting the probability of breaking a world record

Fonseca Giovanni
Primo
;
Lambardi di San Miniato Michele
Penultimo
;
Mameli Valentina
Ultimo
2025-01-01

Abstract

Statistical analysis may help answer some intriguing questions in athletics, such as when the current world records will be improved. Sport records are extreme observations, which can be analyzed through extreme value theory. However, modeling is only one part of the problem, since estimation is also troubled by small sample issues. Here, we present some improved estimates of the expected time to break the record. The property needed for this task is probabilistic calibration. Bootstrap-based approaches can help assess and recover this property to improve predictions. We show that, thanks to improved estimates, the near future is richer in new records than suggested by the classical estimates.
2025
9789083581408
File in questo prodotto:
File Dimensione Formato  
MathSport2025.pdf

non disponibili

Tipologia: Versione Editoriale (PDF)
Licenza: Non pubblico
Dimensione 10.05 MB
Formato Adobe PDF
10.05 MB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11390/1309326
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact