TY - JOUR
T1 - Aplicação da metodologia Peaks Over Threshold ao Salto em Comprimento do Atletismo
AU - Silva, Domingos
AU - Caeiro, Frederico
AU - Oliveira, Manuela
N1 - Sem PDF conforme despacho.
PY - 2018/12
Y1 - 2018/12
N2 - The Peaks Over Threshold (POT) method consists in the fit of a generalized Pareto distribution to a sequence of independent and identically distributed random excesses over a high threshold. In this study, we use the POT method to estimate the distributional parameters of excesses in the application of track and field long jump, between 1935 to 2016 in males, and 1964 to 2016 in females. After determining the appropriate threshold u, we present the estimates of some relevant parameters, like the exceedance probability, the extremal quantile, the right endpoint (only when gamma < 0), and the return levels and return period. In males, results point out to u=8.45m with gamma < 0 , and in females u=7.06m with gamma < 0 . It is expected that the world record will be beaten above 585 individual records in men, and above 427 individual records in women.
AB - The Peaks Over Threshold (POT) method consists in the fit of a generalized Pareto distribution to a sequence of independent and identically distributed random excesses over a high threshold. In this study, we use the POT method to estimate the distributional parameters of excesses in the application of track and field long jump, between 1935 to 2016 in males, and 1964 to 2016 in females. After determining the appropriate threshold u, we present the estimates of some relevant parameters, like the exceedance probability, the extremal quantile, the right endpoint (only when gamma < 0), and the return levels and return period. In males, results point out to u=8.45m with gamma < 0 , and in females u=7.06m with gamma < 0 . It is expected that the world record will be beaten above 585 individual records in men, and above 427 individual records in women.
U2 - 10.28951/rbb.v36i4
DO - 10.28951/rbb.v36i4
M3 - Article
VL - 36
SP - 753
EP - 779
JO - REVISTA BRASILEIRA DE BIOMETRIA
JF - REVISTA BRASILEIRA DE BIOMETRIA
SN - 1983-0823
IS - 4
ER -