Papers, ranked by score

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

Lambda Expected Shortfall

The Lambda Value-at-Risk (Lambda-VaR) is a generalization of the Value-at-Risk (VaR), which has been actively studied in quantitative finance. Over the past two decades, the Expected Shortfall (ES) has become one of the most important risk measures alongside VaR because of its various desirable prop

Lab Rats Math 8.5 Rigor 1.5 ·  December 29, 2025

Partial comonotonicity and distortion riskmetrics

We establish a connection between dependence structures and subclasses of distortion riskmetrics under which the latter are additive. A new notion of positive dependence, called partial comonotonicity, is developed, which nests the existing concepts of comonotonicity and single-point concentration.

Lab Rats Math 8.5 Rigor 1.5 ·  June 9, 2025

Coherent risk measures and uniform integrability

We establish a profound connection between coherent risk measures, a prominent object in quantitative finance, and uniform integrability, a fundamental concept in probability theory. Instead of working with absolute values of random variables, which is convenient in studying integrability, we work d

Lab Rats Math 8.5 Rigor 1.5 ·  April 4, 2024

A new characterization of second-order stochastic dominance

We provide a new characterization of second-order stochastic dominance, also known as increasing concave order. The result has an intuitive interpretation that adding a risk with negative expected value in adverse scenarios makes the resulting position generally less desirable for risk-averse agents

Lab Rats Math 7.5 Rigor 2 ·  February 20, 2024

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