no code implementations • 23 Apr 2024 • Liyuan Lin, Ruodu Wang, Ruixun Zhang, Chaoyi Zhao
We study the problem of choosing the copula when the marginal distributions of a random vector are not all continuous.
no code implementations • 6 Jan 2024 • Jean-Gabriel Lauzier, Liyuan Lin, Ruodu Wang
We analyze the problem of optimally sharing risk using allocations that exhibit counter-monotonicity, the most extreme form of negative dependence.
no code implementations • 30 Apr 2023 • Liyuan Lin, Fangda Liu, Jingzhen Liu abd Luyang Yu
Our numerical analysis verifies the impact of claim size, risk aversion and interest rates of the insurer and reinsurers on equilibrium reinsurance strategy and premium strategy, which can help to understand competition in the reinsurance market
no code implementations • 22 Feb 2023 • Jean-Gabriel Lauzier, Liyuan Lin, Ruodu Wang
We systematically study pairwise counter-monotonicity, an extremal notion of negative dependence.
no code implementations • 8 Feb 2023 • Jean-Gabriel Lauzier, Liyuan Lin, Ruodu Wang
We address the problem of sharing risk among agents with preferences modelled by a general class of comonotonic additive and law-based functionals that need not be either monotone or convex.
no code implementations • 9 Jan 2023 • Xia Han, Liyuan Lin, Ruodu Wang
The diversification quotient (DQ) is recently introduced for quantifying the degree of diversification of a stochastic portfolio model.
no code implementations • 28 Jun 2022 • Xia Han, Liyuan Lin, Ruodu Wang
We establish the first axiomatic theory for diversification indices using six intuitive axioms: non-negativity, location invariance, scale invariance, rationality, normalization, and continuity.
no code implementations • 19 Apr 2022 • Hirbod Assa, Liyuan Lin, Ruodu Wang
It is straightforward to compute the value of PELVE for a given distribution model.
no code implementations • 15 Apr 2021 • Yuyu Chen, Liyuan Lin, Ruodu Wang
We study the aggregation of two risks when the marginal distributions are known and the dependence structure is unknown, under the additional constraint that one risk is smaller than or equal to the other.