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A Remark on the Structure of Expectiles

Probability 2013-07-24 v1 Risk Management

Abstract

Expectiles were defined using a minimisation principle. They form a special class of coherent risk measures. We will describe the scenario set and we will show that there is a most severe commonotonic risk measure that is smaller than the given expectile.

Cite

@article{arxiv.1307.5881,
  title  = {A Remark on the Structure of Expectiles},
  author = {Freddy Delbaen},
  journal= {arXiv preprint arXiv:1307.5881},
  year   = {2013}
}

Comments

9 pages

R2 v1 2026-06-22T00:55:50.283Z