Papers, ranked by score

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

Norms Based on Generalized Expected-Shortfalls and Applications

This paper proposes a novel class of generalized Expected-Shortfall (ES) norms constructed via distortion risk measures, establishing a unified analytical framework for risk quantification. The proposed norms extend conventional ES methodology by incorporating flexible distortion functions. Specific

Lab Rats Math 8 Rigor 3 ·  July 13, 2025

Lambda R{é}nyi entropic value-at-risk

This paper introduces the Lambda extension of the Rényi entropic value-at-risk ($Λ$-EVaR), a novel family of risk measures that unifies the flexible confidence level structure of the $Λ$-framework with the higher-moment sensitivity of EVaR. We define $Λ$-EVaR, establish its foundational properties i

Lab Rats Math 8.5 Rigor 2.5 ·  April 12, 2026

Further Developments on Stochastic Dominance for Convex Combinations of Infinite-Mean Random Variables

In recent years, stochastic dominance for independent and identically distributed (iid) infinite-mean random variables has received considerable attention. The literature has identified several classes of distributions of nonnegative random variables that encompass many common heavy-tailed distribut

Lab Rats Math 8.5 Rigor 1.5 ·  November 2, 2025

Extreme-case Range Value-at-Risk under Increasing Failure Rate

The extreme cases of risk measures, when considered within the context of distributional ambiguity, provide significant guidance for practitioners specializing in risk management of quantitative finance and insurance. In contrast to the findings of preceding studies, we focus on the study of extreme

Lab Rats Math 8.5 Rigor 1.5 ·  June 29, 2025

Stochastic dominance for linear combinations of infinite-mean risks

In this paper, we establish a sufficient condition to compare linear combinations of independent and identically distributed (iid) infinite-mean random variables under usual stochastic order. We introduce a new class of distributions that includes many commonly used heavy-tailed distributions and sh

Lab Rats Math 8.5 Rigor 1.5 ·  May 3, 2025

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