Papers, ranked by score

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

Higher-order Gini indices: An axiomatic approach

Via an axiomatic approach, we characterize the family of n-th order Gini deviation, defined as the expected range over n independent draws from a distribution, to quantify joint dispersion across multiple observations. This family extends the classical Gini deviation, which relies solely on pairwise

Holy Grail Math 8 Rigor 7.5 ·  August 14, 2025

Monotonic mean-deviation risk measures

Mean-deviation models, along with the existing theory of coherent risk measures, are well studied in the literature. In this paper, we characterize monotonic mean-deviation (risk) measures from a general mean-deviation model by applying a risk-weighting function to the deviation part. The form is a

Holy Grail Math 8.5 Rigor 5.5 ·  December 2, 2023

Max- and min-stability under first-order stochastic dominance

Max-stability is the property that taking a maximum between two inputs results in a maximum between two outputs. We study max-stability with respect to first-order stochastic dominance, the most fundamental notion of stochastic dominance in decision theory. Under two additional standard axioms of no

Lab Rats Math 8.5 Rigor 1.5 ·  March 19, 2024

Conditional generalized quantiles based on expected utility model and equivalent characterization of properties

As a counterpart to the (static) risk measures of generalized quantiles and motivated by Bellini et al. (2018), we propose a new kind of conditional risk measure called conditional generalized quantiles. We first show their well-definedness and they can be equivalently characterised by a conditional

Lab Rats Math 8.5 Rigor 1.5 ·  January 29, 2023

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