Papers, ranked by score

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

Higher-order Gini indices: An axiomatic approach

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 dispersion across multiple observations. This family extends the classical Gini deviation, which relies solely on pairwise

Holy Grail Math 8 Rigor 7.5 ·  August 14, 2025

Empirical estimator of diversification quotient

The Diversification Quotient (DQ), introduced by Han et al. (2025), is a recently proposed measure of portfolio diversification that quantifies the reduction in a portfolio’s risk-level parameter attributable to diversification. Grounded in a rigorous theoretical framework, DQ effectively captures h

Holy Grail Math 8.5 Rigor 6.5 ·  June 25, 2025

Monotonic mean-deviation risk measures

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) measures from a general mean-deviation model by applying a risk-weighting function to the deviation part. The form is a

Holy Grail Math 8.5 Rigor 5.5 ·  December 2, 2023

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 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

Optimal Insurance Menu Design under the Expected-Value Premium Principle

This paper studies optimal insurance design under asymmetric information in a Stackelberg framework, where a monopolistic insurer faces uncertainty about both the insured’s risk attitude, captured by a risk-aversion parameter, and the insured’s risk type, characterized by the loss distribution. In p

Lab Rats Math 8 Rigor 3 ·  April 17, 2026

Diversification quotients based on VaR and ES

The diversification quotient (DQ) is recently introduced for quantifying the degree of diversification of a stochastic portfolio model. It has an axiomatic foundation and can be defined through a parametric class of risk measures. Since the Value-at-Risk (VaR) and the Expected Shortfall (ES) are the

Lab Rats Math 8 Rigor 3 ·  January 9, 2023

Dynamic reinsurance design with heterogeneous beliefs under the mean-variance framework

This paper investigates the dynamic reinsurance design problem under the mean-variance criterion, incorporating heterogeneous beliefs between the insurer and the reinsurer, and introducing an incentive compatibility constraint to address moral hazard. The insurer’s surplus process is modeled using t

Lab Rats Math 8.5 Rigor 2.5 ·  February 8, 2025

Optimal insurance design with Lambda-Value-at-Risk

This paper explores optimal insurance solutions based on the Lambda-Value-at-Risk ($Λ\VaR$). If the expected value premium principle is used, our findings confirm that, similar to the VaR model, a truncated stop-loss indemnity is optimal in the $Λ\VaR$ model. We further provide a closed-form express

Lab Rats Math 8.5 Rigor 2.5 ·  August 19, 2024

Optimal insurance with mean-deviation measures

This paper studies an optimal insurance contracting problem in which the preferences of the decision maker given by the sum of the expected loss and a convex, increasing function of a deviation measure. As for the deviation measure, our focus is on convex signed Choquet integrals (such as the Gini c

Lab Rats Math 8 Rigor 2.5 ·  December 4, 2023

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