Whittaker graduation is applied to the spatial smoothing of insurance data. Such data (e.g. claim frequency) form a surface over the 2-dimensional geographic domain to which they relate. Observations on this surface are subject to sampling error. They need to be smoothed spatially if a reliable esti
092032 (M21) Geographic premium rating by Whittaker spatial smoothing : Taylor G., Centre for Actuarial Studies, Research Paper No. 38, 1996
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 169 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0167-6687
No coin nor oath required. For personal study only.
โฆ Synopsis
Upper and lower bounds of the distribution function of a geometric sum with heavy-tailed summands are proposed. These bounds can serve as bounds of the ruin probability. Their accuracy is illustrated by numerical examples.
๐ SIMILAR VOLUMES
## 261 the criterion for optimality to minimizing the probability of ruin, either in discrete or continuous time. They investigate this problem through a series of case studies based on a real portfolio. Keyword~: reinsurance, optimal retention levels, finite time ruin, translated gamma process.
The operation of a bonus-malus system, superimposed on a premium system involving a number of other rating variables, is considered. To the extent that good risks are rewarded in their base premiums, through the other rating variables, the size of the bonus they require for equity is reduced. This i