Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review
Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review
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TY - JOUR
T1 - A latent trawl process model for extreme values
AU - Noven, Ragnhild C.
AU - Veraart, Almut E.D.
AU - Gandy, Axel
PY - 2018/9
Y1 - 2018/9
N2 - This paper presents a new model for characterizing temporal dependence in exceedances above a given threshold. Our model is based on a class of stationary, infinitely divisible stochastic processes known as trawl processes. For use with extreme values, our model is constructed by embedding a trawl process in a hierarchical framework. This ensures that the marginal distribution is a generalized Pareto, as expected from classical extreme value theory. We also consider a modified version of this model that works with a wider class of generalized Pareto distributions (GPDs) and has the advantage of separating marginal and temporal dependence properties. The model is illustrated via various applications to environmental time series; thus, we show that the model offers considerable flexibility in capturing the dependence structure of extreme value data.
AB - This paper presents a new model for characterizing temporal dependence in exceedances above a given threshold. Our model is based on a class of stationary, infinitely divisible stochastic processes known as trawl processes. For use with extreme values, our model is constructed by embedding a trawl process in a hierarchical framework. This ensures that the marginal distribution is a generalized Pareto, as expected from classical extreme value theory. We also consider a modified version of this model that works with a wider class of generalized Pareto distributions (GPDs) and has the advantage of separating marginal and temporal dependence properties. The model is illustrated via various applications to environmental time series; thus, we show that the model offers considerable flexibility in capturing the dependence structure of extreme value data.
KW - Conditional tail dependence coefficient
KW - Generalized pareto distribution (GPD)
KW - Marginal transformation model
KW - Pairwise likelihood estimation
KW - Peaks over threshold
KW - Trawl process
UR - http://www.scopus.com/inward/record.url?scp=85059812926&partnerID=8YFLogxK
U2 - 10.21314/JEM.2018.179
DO - 10.21314/JEM.2018.179
M3 - Journal article
AN - SCOPUS:85059812926
VL - 11
SP - 1
EP - 24
JO - Journal of Energy Markets
JF - Journal of Energy Markets
SN - 1756-3607
IS - 3
ER -