English

Some properties of skew-symmetric distributions

Probability 2010-12-22 v1 Statistics Theory Statistics Theory

Abstract

The family of skew-symmetric distributions is a wide set of probability density functions obtained by combining in a suitable form a few components which are selectable quite freely provided some simple requirements are satisfied. Intense recent work has produced several results for specific sub-families of this construction, but much less is known in general terms. The present paper explores some questions within this framework, and provides conditions on the above-mentioned components to ensure that the final distribution enjoys specific properties.

Keywords

Cite

@article{arxiv.1012.4710,
  title  = {Some properties of skew-symmetric distributions},
  author = {Adelchi Azzalini and Giuliana Regoli},
  journal= {arXiv preprint arXiv:1012.4710},
  year   = {2010}
}