Details

Autor(en) / Beteiligte

• Bignozzi, Valeria
• Tsanakas, Andreas

Titel

Parameter Uncertainty and Residual Estimation Risk

Ist Teil von

• The Journal of risk and insurance, 2016-12, Vol.83 (4), p.949-978

Ort / Verlag

Malvern: Blackwell Publishing Ltd

Erscheinungsjahr

2016

Quelle

Business Source Ultimate

Beschreibungen/Notizen

• The notion of residual estimation risk is introduced to quantify the impact of parameter uncertainty on capital adequacy, for a given risk measure and capital estimation procedure. Residual risk equals the risk measure applied to the difference between a random loss and the corresponding capital estimator. Modified estimation procedures are proposed, based on parametric bootstrapping and predictive distributions, which compensate the impact of parameter uncertainty and lead to higher capital requirements. In the particular case of location-scale families, the analysis simplifies and a capital estimator can always be found that leads to a residual risk of exactly zero.