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applications in Risk Management, Finance, Economics, Science, and many other areas. This paper develops the theory on both density … . Thereafter, we extend the theory by establishing the density and distribution functions for the quotients Y=X1X2 and Z=X1X1+X2 of … two dependent normal random variables X1 and X2 in the case of Gaussian copulas. We then develop the theory on the median …
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We consider the Sparre Andersen risk process with interclaim times that belong to the class of distributions with rational Laplace transform. We construct error bounds for the ruin probability based on the Pollaczek-Khintchine formula, and develop an efficient algorithm to approximate the ruin...
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. As an application example, cost quantification is then discussed. We also discuss how the mixture model based estimation …
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The family of Liouville copulas is defined as the survival copulas of multivariate Liouville distributions, and it covers the Archimedean copulas constructed by Williamson’s d-transform. Liouville copulas provide a very wide range of dependence ranging from positive to negative dependence in...
Persistent link: https://www.econbiz.de/10011556499
In this paper, a new heavy-tailed distribution is used to model data with a strong right tail, as often occurs in practical situations. The distribution proposed is derived from the lognormal distribution, by using the Marshall and Olkin procedure. Some basic properties of this new distribution...
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