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Channel: ScienceDirect Publication: Insurance: Mathematics and Economics
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Risk reducers in convex order

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Publication date: September 2016
Source:Insurance: Mathematics and Economics, Volume 70
Author(s): Junnan He, Qihe Tang, Huan Zhang
Given a risk position X , a random addition Z is called a risk reducer for X if the new position X + Z is less risky than X + E [ Z ] in convex order. We utilize the concept of convex hull to give a structural description of risk reducers in the case of an atomless probability space. Then we study risk reducers that are fully dependent on X . Applications to multivariate stochastic ordering, index-linked hedging strategies, and optimal reinsurance are proposed.


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