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On a law of large numbers for insurance risks

Risk Management 2016-01-14 v1

Abstract

This note presents a kind of the strong law of large numbers for an insurance risk caused by a single catastrophic event rather than by an accumulation of independent and identically distributed risks. We derive this result by a large diversification effect resulting from optimal allocation of the risk to many reinsurers or investors.

Keywords

Cite

@article{arxiv.1601.03171,
  title  = {On a law of large numbers for insurance risks},
  author = {Yumiharu Nakano},
  journal= {arXiv preprint arXiv:1601.03171},
  year   = {2016}
}

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5 pages