Papers, ranked by score

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

Generalized FGM dependence: Geometrical representation and convex bounds on sums

Building on the one-to-one relationship between generalized FGM copulas and multivariate Bernoulli distributions, we prove that the class of multivariate distributions with generalized FGM copulas is a convex polytope. Therefore, we find sharp bounds in this class for many aggregate risk measures, s

Lab Rats Math 8.5 Rigor 3 ·  June 15, 2024

Measuring distribution risk in discrete models

Model risk measures consequences of choosing a model in a class of possible alternatives. We find analytical and simulated bounds for payoff functions on classes of plausible alternatives of a given discrete model. We measure the impact of choosing a risk-neutral measure on convex derivative pricing

Lab Rats Math 7.5 Rigor 3 ·  February 17, 2023

Symmetric Bernoulli distributions and minimal dependence copulas

The key result of this paper is to characterize all the multivariate symmetric Bernoulli distributions whose sum is minimal under convex order. In doing so, we automatically characterize extremal negative dependence among Bernoulli random vectors, since multivariate distributions with minimal convex

Lab Rats Math 8 Rigor 2 ·  September 29, 2023

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