Papers, ranked by score

Ordered by a blend of empirical rigor (60%) and math complexity (40%).

Conditional value-at-risk under reward-penalty mechanism with applications to robust portfolio management

In this paper, we present robust portfolio selection models by incorporating a reward and penalty mechanism into portfolio management. We assume that the joint distribution of the losses of the underlying risky assets in a portfolio is uncertain but lies within a multivariate distribution set. Our g

Holy Grail Math 8 Rigor 7 ·  October 7, 2026

Estimation of the Adjusted Standard-deviatile for Extreme Risks

In this paper, we modify the Bayes risk for the expectile, the so-called variantile risk measure, to better capture extreme risks. The modified risk measure is called the adjusted standard-deviatile. First, we derive the asymptotic expansions of the adjusted standard-deviatile. Next, based on the fi

Holy Grail Math 8.5 Rigor 6 ·  November 11, 2024

Quantiles under ambiguity and risk sharing

Choquet capacities and integrals are central concepts in decision making under ambiguity or model uncertainty, pioneered by Schmeidler. Motivated by risk optimization problems for quantiles under ambiguity, we study the subclass of Choquet integrals, called Choquet quantiles, which generalizes the u

Lab Rats Math 8.5 Rigor 4 ·  December 27, 2024

Asymptotic Properties of Generalized Shortfall Risk Measures for Heavy-tailed Risks

We study a general risk measure called the generalized shortfall risk measure, which was first introduced in Mao and Cai (2018). It is proposed under the rank-dependent expected utility framework, or equivalently induced from the cumulative prospect theory. This risk measure can be flexibly designed

Lab Rats Math 8.5 Rigor 3.5 ·  November 11, 2024

Risk diversification for infinitely divisible distributions

In this paper, we study the diversification properties of convex combinations of iid infinitely divisible random variables. For Lévy processes with bounded variation sample paths, we characterize, in terms of subadditivity and concavity of the transformed Lévy tails, Lévy processes that exhibit the

Lab Rats Math 9 Rigor 2 ·  September 28, 2026

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