Abstract
While the actuarial literature devoted to stochastic loss reserving has been developing at an impressive rate, much of this literature has been devoted to the statistical analysis of summarized loss triangles. This restriction limits the benefits that modern statistical techniques can bring to the subject of loss reserving. This paper will sketch one possible framework for estimating future claims payments using claim-level data. The first part of the paper will discuss the use of covariates (or "predictive variables") to improve one's estimates of future payments, especially in cases where the mix of business being analyzed has changed over time. The second part of the paper will describe how the bootstrapping technique can be applied to claim-level data to estimate reserve variability.
Volume
Fall
Page
111 - 140
Year
2006
Categories
Financial and Statistical Methods
Statistical Models and Methods
Boot-Strapping and Resampling Methods
Financial and Statistical Methods
Statistical Models and Methods
Generalized Linear Modeling
Actuarial Applications and Methodologies
Reserving
Reserve Variability
Actuarial Applications and Methodologies
Reserving
Reserving Methods
Actuarial Applications and Methodologies
Reserving
Uncertainty and Ranges
Publications
Casualty Actuarial Society E-Forum
Documents