Results 1 to 10 of about 458 (34)

Stochastic orders of log-epsilon-skew-normal distributions

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022
The log-epsilon-skew-normal distributions family is generalized class of log-normal distribution. Is widely used to model non-negative data in many areas of applied research.
Catana Luigi-Ionut
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Stochastic orders for a multivariate Pareto distribution

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021
In this article we give some theoretical results for equivalence between different stochastic orders of some kind multivariate Pareto distribution family.
Catana Luigi-Ionut
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A combinatorial proof of the Gaussian product inequality beyond the MTP2 case

Dependence Modeling, 2022
A combinatorial proof of the Gaussian product inequality (GPI) is given under the assumption that each component of a centered Gaussian random vector X=(X1,…,Xd){\boldsymbol{X}}=\left({X}_{1},\ldots ,{X}_{d}) of arbitrary length can be written as a ...
Genest Christian, Ouimet Frédéric
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Antisymmetry of the Stochastical Order on all Ordered Topological Spaces

Analysis and Geometry in Metric Spaces, 2019
In this short note, we prove that the stochastic order of Radon probability measures on any ordered topological space is antisymmetric. This has been known before in various special cases. We give a simple and elementary proof of the general result.
Fritz Tobias
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VaR bounds in models with partial dependence information on subgroups

Dependence Modeling, 2017
We derive improved estimates for the model risk of risk portfolios when additional to the marginals some partial dependence information is available.We consider models which are split into k subgroups and consider various classes of dependence ...
Rüschendorf Ludger, Witting Julian
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Risk bounds with additional information on functionals of the risk vector

Dependence Modeling, 2018
We consider the problem of determining risk bounds for the Value at Risk for risk vectors X where besides the marginal distributions also information on the distribution or on the expectation of some functionals Tj(X), 1 ≤ j ≤ m, is available.
Rüschendorf L.
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Using sums-of-squares to prove Gaussian product inequalities

Dependence Modeling
The long-standing Gaussian product inequality (GPI) conjecture states that E[∏j=1n∣Xj∣yj]≥∏j=1nE[∣Xj∣yj]E\left[{\prod }_{j=1}^{n}{| {X}_{j}| }^{{y}_{j}}]\ge {\prod }_{j=1}^{n}E\left[{| {X}_{j}| }^{{y}_{j}}] for any centered Gaussian random vector (X1 ...
Russell Oliver, Sun Wei
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Stochastic ordering of discrete multivariate distributions. Algorithm in C++ with applications in the comparison of number of claims and extremes order statistics

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
In this article we present a stochastic ordering verification algorithm between multivariate discrete distributions implemented in the C++ programming language.
Catana Luigi-Ionut
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A Probabilistic Characterization of Negative Definite Functions. [PDF]

High Dimens Probab, 2019
Gao F.
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The Bennett-Orlicz Norm. [PDF]

Sankhya Ser A, 2017
Wellner JA.
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