Brown et al. (2006) derive a Stein-type inequality for the multivariate Student-t distribution. We generalize their result to the family of (multivariate) generalized hyperbolic distributions and derive a lower bound for the variance of a function of a random variable

When two random variables are bivariate normally distributed Stein's original lemma allows to conveniently express the covariance of the first variable with a function of the second. Landsman & Neslehova (2007) extend this seminal result to the family of multivariate elliptical distributions. In...

Agents who pursue optimal portfolio choice by optimizing a univariate objective (e.g., an expected utility) obtain optimal payoffs that are increasing with each other (comonotonic). This situation may lead to an undesirable level of systemic risk for society. A regulator may therefore aim to...