Papers, ranked by score

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

The local Gaussian correlation networks among return tails in the Chinese stock market

Financial networks based on Pearson correlations have been intensively studied. However, previous studies may have led to misleading and catastrophic results because of several critical shortcomings of the Pearson correlation. The local Gaussian correlation coefficient, a new measurement of statisti

Holy Grail Math 5.5 Rigor 6.5 ·  October 24, 2025

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

Pareto-optimal reinsurance under dependence uncertainty

This paper studies Pareto-optimal reinsurance design in a monopolistic market with multiple primary insurers and a single reinsurer, all with heterogeneous risk preferences. The risk preferences are characterized by a family of risk measures, called Range Value-at-Risk (RVaR), which includes both Va

Lab Rats Math 8.5 Rigor 3 ·  December 12, 2025

Robust distortion risk metrics and portfolio optimization

We establish sharp upper and lower bounds for distortion risk metrics under distributional uncertainty. The uncertainty sets are characterized by four key features of the underlying distribution: mean, variance, unimodality, and Wasserstein distance to a reference distribution. We first examine very

Lab Rats Math 8.5 Rigor 3 ·  November 11, 2025

Robust Lambda-quantiles and extremal distributions

In this paper, we investigate the robust models for $Λ$-quantiles with partial information regarding the loss distribution, where $Λ$-quantiles extend the classical quantiles by replacing the fixed probability level with a probability/loss function $Λ$. We find that, under some assumptions, the robu

Lab Rats Math 8.5 Rigor 3 ·  June 19, 2024

Factor risk measures

This paper introduces and studies factor risk measures. While risk measures only rely on the distribution of a loss random variable, in many cases risk needs to be measured relative to some major factors. In this paper, we introduce a double-argument mapping as a risk measure to assess the risk rela

Lab Rats Math 8.5 Rigor 3 ·  April 12, 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

Extended Convolution Bounds on the Fréchet Problem: Robust Risk Aggregation and Risk Sharing

In this paper, we provide extended convolution bounds for the Fréchet problem and discuss related implications in quantitative risk management. First, we establish a new form of inequality for the Range-Value-at-Risk (RVaR). Based on this inequality, we obtain bounds for robust risk aggregation with

Lab Rats Math 8.5 Rigor 1.5 ·  November 26, 2025

Risk sharing with Lambda value at risk under heterogeneous beliefs

In this paper, we study the risk sharing problem among multiple agents using Lambda Value-at-Risk as their preference functional, under heterogeneous beliefs, where beliefs are represented by several probability measures. We obtain semi-explicit formulas for the inf-convolution of multiple Lambda Va

Lab Rats Math 8.5 Rigor 1.5 ·  August 6, 2024

Lambda Value-at-Risk under ambiguity and risk sharing

In this paper, we investigate the Lambda Value-at-Risk ($Λ$VaR) under ambiguity, where the ambiguity is represented by a family of probability measures. We establish that for increasing Lambda functions, the robust (i.e., worst-case) $Λ$VaR under such an ambiguity set is equivalent to $Λ$VaR compute

Lab Rats Math 9 Rigor 1 ·  November 1, 2025

Browse

All authors · Research topics · Papers with code · Download the scored dataset

📬 The Quant Space Weekly

One email a week: the most interesting quant finance papers, scored and summarized. No spam, unsubscribe anytime.