Munich Personal RePEc Archive

Modelling catastrophe claims with left-truncated severity distributions (extended version)

Chernobai, Anna and Burnecki, Krzysztof and Rachev, Svetlozar and Trueck, Stefan and Weron, Rafal (2005): Modelling catastrophe claims with left-truncated severity distributions (extended version).

[img]
Preview
PDF
MPRA_paper_10423.pdf

Download (386Kb) | Preview

Abstract

In this paper, we present a procedure for consistent estimation of the severity and frequency distributions based on incomplete insurance data and demonstrate that ignoring the thresholds leads to a serious underestimation of the ruin probabilities. The event frequency is modelled with a non-homogeneous Poisson process with a sinusoidal intensity rate function. The choice of an adequate loss distribution is conducted via the in-sample goodness-of-fit procedures and forecasting, using classical and robust methodologies.

This is an extended version of the article: Chernobai et al. (2006) Modelling catastrophe claims with left-truncated severity distributions, Computational Statistics 21(3-4): 537-555.

UB_LMU-Logo
MPRA is a RePEc service hosted by
the Munich University Library in Germany.