Table of Contents
Risks, Volume 5, Issue 3 (September 2017)
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Cover Story (view full-size image) The new class of (p,q)-spherical distributions allows modeling heavy and light tails data from [...] Read more. The new class of (p,q)-spherical distributions allows modeling heavy and light tails data from various applied areas. The density level lines above the density hill of such a distribution may drastically change their main orientation when switching from the distribution's center to its tails. The adequate mathematical description of such distributions deals with new types of generalized uniform distributions, radius functionals and stochastic representations, generalized circle numbers of non-Euclidean circles, and a corresponding new geometric disintegration method. Due to a suitable coordinate system, the evaluation of probabilities of arbitrary events becomes tractable, also for the Gauss-exponential distribution appearing in high risk limit scenarios. View the paper