Papers, ranked by score

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

Divergence Based Quadrangle and Applications

This paper introduces a novel framework for assessing risk and decision-making in the presence of uncertainty, the \emph{$\varphi$-Divergence Quadrangle}. This approach expands upon the traditional Risk Quadrangle, a model that quantifies uncertainty through four key components: \emph{risk, deviatio

Lab Rats Math 8.5 Rigor 4.5 ·  June 28, 2023

Biased Mean Quadrangle and Applications

This paper introduces \emph{biased mean regression}, estimating the \emph{biased mean}, i.e., $\mathbb{E}[Y] + x$, where $x \in \mathbb{R}$. The approach addresses a fundamental statistical problem that covers numerous applications. For instance, it can be used to estimate factors driving portfolio

Lab Rats Math 8 Rigor 4.5 ·  March 27, 2026

The Risk Quadrangle in Optimization: An Overview with Recent Results and Extensions

This paper revisits and extends the 2013 development by Rockafellar and Uryasev of the Risk Quadrangle (RQ) as a unified scheme for integrating risk management, optimization, and statistical estimation. The RQ features four stochastics-oriented functionals – risk, deviation, regret, and error, alon

Lab Rats Math 8.5 Rigor 3 ·  March 28, 2026

Expectile Quadrangle and Applications

The paper explores the concept of the \emph{expectile risk measure} within the framework of the Fundamental Risk Quadrangle (FRQ) theory. According to the FRQ theory, a quadrangle comprises four stochastic functions associated with a random variable: error'', regret’’, risk'', and deviation'

Lab Rats Math 7.5 Rigor 2.5 ·  June 28, 2023

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