Accepted author manuscript, 590 KB, PDF document
Available under license: CC BY-NC
Final published version
Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
}
TY - JOUR
T1 - Modelling record times in sport with extreme value methods
AU - Adam, M. B.
AU - Tawn, Jonathan Angus
PY - 2016/1
Y1 - 2016/1
N2 - We exploit connections between extreme value theory and record processes to develop inference methods for record processes. Record processes have trends in them even when the underlying process is stationary. We study the problem of estimating the underlying trend in times achieved in sports from record data. We develop new methods for inference, simulating record series in non-stationary contexts, and assessing fit which account for the censored characteristic of record data and we apply these methods to athletics and swimming data.
AB - We exploit connections between extreme value theory and record processes to develop inference methods for record processes. Record processes have trends in them even when the underlying process is stationary. We study the problem of estimating the underlying trend in times achieved in sports from record data. We develop new methods for inference, simulating record series in non-stationary contexts, and assessing fit which account for the censored characteristic of record data and we apply these methods to athletics and swimming data.
KW - athletics
KW - Extreme value theory
KW - Poisson process
KW - Records
KW - Swimming
M3 - Journal article
VL - 10
SP - 1
EP - 21
JO - Malaysian Journal of Mathematical Sciences
JF - Malaysian Journal of Mathematical Sciences
SN - 1823-8343
IS - 1
ER -