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Risk bounds and partial dependence information. (English) Zbl 1383.62251
Ferger, Dietmar (ed.) et al., From statistics to mathematical finance. Festschrift in honour of Winfried Stute. Cham: Springer (ISBN 978-3-319-50985-3/hbk; 978-3-319-50986-0/ebook). 345-366 (2017).
Summary: The evaluation of risks and risk bounds for joint portfolios is an important task in connection with the determination of risk capital as induced by regulatory prescriptions in finance and in insurance. It faces two basic problems. One is induced by the model risk arising from the use of specific but possibly incorrect models. On the other hand risk estimates based only on basic information as for example on the marginal (individual) risk distributions may be too wide to be usable in practise. In this paper we survey some recent endeavor to include partial dependence and structural information in order to obtain reliable and usable improved risk bounds.
For the entire collection see [Zbl 1383.62010].

##### MSC:
 62P05 Applications of statistics to actuarial sciences and financial mathematics 91G70 Statistical methods; risk measures
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