Papers, ranked by score

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

Joint Exclusivity

We introduce joint exclusivity (JE), a form of extremal negative dependence that extends the classical notion of mutual exclusivity. The JE structure is analytically tractable and is defined by the exclusion of the interior of the non-negative orthant. We establish a sharp necessary and sufficient c

Lab Rats Math 8.5 Rigor 1.5 ·  April 19, 2026

VaR at Its Extremes: Impossibilities and Conditions for One-Sided Random Variables

We investigate the extremal aggregation behavior of Value-at-Risk (VaR) – that is, its additivity properties across all probability levels – for sums of one-sided random variables. For risks supported on ([0,\infty)), we show that VaR sub-additivity is impossible except in the degenerate case of

Lab Rats Math 8.5 Rigor 1.5 ·  December 8, 2025

Tail Structure and the Ordering of the Standard Deviation and Gini Mean Difference

We investigate the ordering between two fundamental measures of dispersion for real-valued risks: the standard deviation (SD) and the Gini mean difference (GMD). Our analysis is driven by a single structural object, namely the mean excess function of the pairwise difference $|X - X’|$. We show that

Lab Rats Math 7.5 Rigor 1 ·  January 18, 2026

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