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Hessian and increasing-Hessian orderings of multivariate skew-elliptical random vectors

Statistics Theory 2023-04-19 v1 Statistics Theory

Abstract

In this work, we establish some stochastic comparison results for multivariate skew-elliptical random vectors. These multivariate stochastic comparisons involve Hessian and increasing-Hessian orderings as well as many of their special cases. Necessary and/or sufficient conditions of the orderings are provided simply based on a comparison of the underlying model parameters.

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Cite

@article{arxiv.2304.09013,
  title  = {Hessian and increasing-Hessian orderings of multivariate skew-elliptical random vectors},
  author = {Chuancun Yin},
  journal= {arXiv preprint arXiv:2304.09013},
  year   = {2023}
}

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