Value at Risk (VaR) is a central concept in risk management. As stressed by Artzner et al. (1999), VaR may not possess the subadditivity property required to be a coherent measure...
Optimality conditions are derived for problems of minimizing a general measure of deviation of a random variable, with special attention to situations where the random variable cou...
R. Tyrrell Rockafellar, Stan Uryasev, Michael Zaba...
The causal Markov condition (CMC) is a postulate that links observations to causality. It describes the conditional independences among the observations that are entailed by a cau...
Bastian Steudel, Dominik Janzing, Bernhard Sch&oum...
We propose a new measure of conditional dependence of random variables, based on normalized cross-covariance operators on reproducing kernel Hilbert spaces. Unlike previous kernel...
Kenji Fukumizu, Arthur Gretton, Xiaohai Sun, Bernh...
This paper focuses on establishing envelope theorems for convex conditional lower previsions, a recently investigated class of imprecise previsions larger than coherent imprecise ...