Marius Hofert

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This paper addresses the problem of efficiently sampling exchangeable and nested Archimedean copulas, with specific focus on large dimensions, where methods involving generator derivatives, such as the conditional distribution method, are not applicable. Additionally, new conditions under which Archimedean copulas can be mixed to construct nested(More)
The package copula (formerly nacopula) provides procedures for constructing nested Archimedean copulas in any dimensions and with any kind of nesting structure, generating vectors of random variates from the constructed objects, computing function values and probabilities of falling into hypercubes, as well as evaluation of characteristics such as Kendall’s(More)
Companies in the same industry sector are usually stronger correlated than firms in different sectors, as they are similarly affected by macroeconomic effects, political decisions, and consumer trends. In spite of many stock return models taking account of this fact there are only a few credit default models taking it into consideration. In this paper we(More)
As an emerging field of applied research, Quantitative Risk Management (QRM) poses a lot of challenges for probabilistic and statistical modeling. This review provides a discussion on selected past, current, and possible future areas of research in the intersection of statistics and quantitative risk management. Topics treated include the use of risk(More)