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Stable tail dependence functions – some basic properties
Dependence Modeling, 2022 We prove some important properties of the extremal coefficients of a stable tail dependence function (“STDF”) and characterise logistic and some related STDFs.
Ressel Paul
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Functions operating on several multivariate distribution functions
Dependence Modeling, 2023 Functions ff on [0,1]m{\left[0,1]}^{m} such that every composition f∘(g1,…,gm)f\circ \left({g}_{1},\ldots ,{g}_{m}) with dd-dimensional distribution functions g1,…,gm{g}_{1},\ldots ,{g}_{m} is again a distribution function, turn out to be characterized ...
Ressel Paul
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Copulas, stable tail dependence functions, and multivariate monotonicity
Dependence Modeling, 2019 For functions of several variables there exist many notions of monotonicity, three of them being characteristic for resp. distribution, survival and co-survival functions. In each case the “degree” of monotonicity is just the basic one of a whole scale.
Ressel Paul
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Dependence Modeling, 2018 Williamson’s integral representation of n-monotone functions on the half-line is generalized to several dimensions. This leads to a characterization of multivariate survival functions with multiply ℓ1- symmetry.
Ressel Paul
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Extended Divergence-Measure Fields, the Gauss-Green Formula and Cauchy Fluxes. [PDF]
Arch Ration Mech AnalChen GG, Irving C, Torres M.
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