Papers, ranked by score

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

Elicitability of Return Risk Measures

Informally, a risk measure is said to be elicitable if there exists a suitable scoring function such that minimizing its expected value recovers the risk measure. In this paper, we analyze the elicitability properties of the class of return risk measures (i.e., normalized, monotone and positively ho

Lab Rats Math 9 Rigor 2 ·  February 25, 2023

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

Generalized Orlicz premia

We introduce a generalized version of Orlicz premia, based on possibly non-convex loss functions. We show that this generalized definition covers a variety of relevant examples, such as the geometric mean and the expectiles, while at the same time retaining a number of relevant properties. We establ

Lab Rats Math 8.5 Rigor 1.5 ·  July 12, 2025

On Geometrically Convex Risk Measures

Geometrically convex functions constitute an interesting class of functions obtained by replacing the arithmetic mean with the geometric mean in the definition of convexity. As recently suggested, geometric convexity may be a sensible property for financial risk measures ([7,13,4]). We introduce a n

Lab Rats Math 8.5 Rigor 1.5 ·  March 10, 2024

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