Actuaries working in claims reserving are often faced, among others, with the following two tasks: the prediction of future outstanding loss liabilities, as well as the quantification of their risk. Within claims reserving there exist various methods in which vagueness and subjective judgement...

In areas torn by war and violence, effective education can prepare the next generation for a productive life, heal psychological wounds, prevent cyclical violence, and achieve peace. "From Bullets to Blackboards" profiles ten exemplary education programs in Latin America and Asia, presenting...

In areas torn by war and violence, effective education can prepare the next generation for a productive life, heal psychological wounds, prevent cyclical violence, and achieve peace. "From Bullets to Blackboards" profiles ten exemplary education programs in Latin America and Asia, presenting...

This paper considers the algorithmic implementation of the heteroskedasticity and autocorrelation consistent (HAC) estimation problem for covariance matrices of parameter estimators. We introduce a new algorithm, mainly based on the fast Fourier transform, and show via computer simulation that...

In this paper we make an empirical analysis of a wide range of claims development trapezoids following Benford's law. In particular we determine Benfors's law for different characteristic factors depending on claims development triangles/trapezoids. These characteristic factors are the...

In this paper we use a wide range of development trapezoids for an analysis of ultimate claims reserve. Thereby, the ultimate claims reserve will be calculated using the classical Chain-Ladder reserving method on the one side and, on the other side, the calculation of the ultimate claims reserve...

This paper considers the algorithmic implementation of the heteroskedasticity and autocorrelation consistent (HAC) estimation problem for covariance matrices of parameter estimators. We introduce a new algorithm, mainly based on the fast Fourier transform, and show via computer simulation that...

The prediction of outstanding loss liabilities for non-life run-off portfolios and the quantification of the prediction error is one of the most important actuarial tasks in non-life insurance. In this paper we consider this prediction problem in a bivariate context. More precisely, we derive...

In this paper we show how to quantify the uncertainty in the difference between the best estimate for the ultimate claim viewed at the beginning and at the end of one year. A second aspect in this paper is how bootstrapping techniques can be used to simulate these uncertainty for several...