Bootstrap consistency and bias correction in the nonparametric estimation of risk measures of collective risks

2017 ◽  
Vol 74 ◽  
pp. 99-108 ◽  
Author(s):  
Alexandra Lauer ◽  
Henryk Zähle
2016 ◽  
Vol 32 (2) ◽  
Author(s):  
Alexandra Lauer ◽  
Henryk Zähle

AbstractWe consider two nonparametric estimators for the risk measure of the sum of


2021 ◽  
Vol 62 (1) ◽  
pp. 35-80
Author(s):  
El Hadji Deme ◽  
Mouhamad M. Allaya ◽  
Siradhi Deme ◽  
Hamza Dhaker ◽  
Ali Souleyman Dabye

2014 ◽  
Vol 10 (2) ◽  
pp. 3-37
Author(s):  
Johannes Hauptmann ◽  
Pablo Olivares ◽  
Rudi Zagst

Mathematics ◽  
2020 ◽  
Vol 8 (12) ◽  
pp. 2221
Author(s):  
Dietmar Pfeifer ◽  
Olena Ragulina

We present a constructive approach to Bernstein copulas with an admissible discrete skeleton in arbitrary dimensions when the underlying marginal grid sizes are smaller than the number of observations. This prevents an overfitting of the estimated dependence model and reduces the simulation effort for Bernstein copulas a lot. In a case study, we compare different approaches of Bernstein and Gaussian copulas regarding the estimation of risk measures in risk management.


2011 ◽  
pp. 277-305 ◽  
Author(s):  
Maria Grith ◽  
Wolfgang Karl Härdle ◽  
Melanie Schienle

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