4 papers
Higher-order Gini indices: An axiomatic approach
Xia Han, Ruodu Wang, Qinyu Wu
Via an axiomatic approach, we characterize the family of n-th order Gini deviation, defined as the expected range over n independent draws from a distribution, to quantify joint di…
Diversification quotient based on expectiles
Xia Han, Liyuan Lin, Hao Wang +1
A diversification quotient (DQ) quantifies diversification in stochastic portfolio models based on a family of risk measures. We study DQ based on expectiles, offering a useful alt…
Monotonic mean-deviation risk measures
Xia Han, Ruodu Wang, Qinyu Wu
Mean-deviation models, along with the existing theory of coherent risk measures, are well studied in the literature. In this paper, we characterize monotonic mean-deviation (risk)…
Choquet regularization for reinforcement learning
Xia Han, Ruodu Wang, Xun Yu Zhou
We propose \emph{Choquet regularizers} to measure and manage the level of exploration for reinforcement learning (RL), and reformulate the continuous-time entropy-regularized RL pr…