Title
Peaks over thresholds modelling with multivariate generalized Pareto distributions
Abstract
When assessing the impact of extreme events, it is often not just a single component, but the combined behavior of several components which is important. Statistical modeling using multivariate generalized Pareto (GP) distributions constitutes the multivariate analogue of univariate peaks over thresholds modeling, which is widely used in finance and engineering. We develop general methods for construction of multivariate GP distributions and use them to create a variety of new statistical models. A censored likelihood procedure is proposed to make inference on these models, together with a threshold selection procedure, goodness-of-fit diagnostics, and a computationally tractable strategy for model selection. The models are fitted to returns of stock prices of four UK-based banks and to rainfall data in the context of landslide risk estimation. Supplementary materials and codes are available online.
Year
DOI
Venue
2019
10.1080/00401706.2018.1462738
TECHNOMETRICS
Keywords
Field
DocType
Financial risk,Landslides,Multivariate extremes,Tail dependence
Econometrics,Tail dependence,Multivariate statistics,Extreme value theory,Inference,Generalized Pareto distribution,Statistical model,Statistics,Univariate,Mathematics
Journal
Volume
Issue
ISSN
61.0
1.0
0040-1706
Citations 
PageRank 
References 
1
0.49
2
Authors
4
Name
Order
Citations
PageRank
Anna Kiriliouk110.49
Holger Rootzén221.38
Johan Segers34110.37
Jennifer Wadsworth410.49