Knowledge compilation is a common technique for propositionallogic knowledge bases. A given knowledge base is transformedinto a normal form, for which queries can be answered efficiently. Thisprecompilation step is expensive, but it only has to be performed once.We apply this technique to...

This article examines the ability of time-varying Gaussian and Student t copulas to accurately predict the probability of joint extreme co-movements in stock index returns. Using a sample of more than 20 years of daily return observations of the Eurostoxx50 and Dow Jones Industrial stock...

Empirical results from several studies indicate that changes in interest rates andchanges in credit spreads are negatively related in the short run. These findings arefurther investigated by examining the dependence structure between interest rateand credit risk factor changes that are computed...

This article presents the concept of a copula-based top-down approachin the field of financial risk aggregation. Selected copulasand their properties are presented. Copula parameter estimation andgoodness-of-fit tests are explained and algorithms for the simulationof copulas and...

We derive a central limit theorem for the maximum of a sum of high dimensional random vectors. More precisely, we establish condi- tions under which the distribution of the maximum is approximated by the maximum of a sum of the Gaussian random vectors with the same covariance matrices as the...

We develop a new direct approach to approximating suprema of general empirical processes by a sequence of suprema of Gaussian processes, without taking the route of approximating empirical processes themselves in the sup-norm. We prove an abstract approximation theorem that is applicable to a...