Title: Predicting high quantiles through the Dirichlet process on extreme modelling
Authors: De Waal, D ×
Beirlant, J
Dierckx, Goedele
Editors: Finkelstein, M.S
Issue Date: Aug-2008
Series Title: South African Statistical Journal vol:42 issue:2 pages:101-124
Host Document: South African Statistical Journal
Abstract: One of the challenging problems in Extreme Value Analysis is that of predicting high quantiles. The Dirichlet process is applied to fitting a model to extreme data exceeding a threshold and the predictive distribution is derived. Through the predictive distribution, a model check using a QQ-plot is provided and high quantiles are predicted. The choice of the threshold is discussed by minimizing the negative differential entropy of the Dirichlet process. The approximation of the tail of a heavy tailed distribution like the Burr by the Pareto or Generalized Pareto and selection of the threshold is investigated by simulation. The prediction of high quantiles is illustrated on a real dataset. We also compare the results with the traditional maximum likelihood approach based on peaks over threshold.
ISSN: 0038-271X
Publication status: published
KU Leuven publication type: AT
Appears in Collections:Statistics Section
Faculty of Economics and Business (FEB) - miscellaneous
Research Centre for Mathematical Economics, Econometrics and Statistics, Campus Brussels (-)
× corresponding author

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