Correct specification of a conditional quantile model implies that a particular conditional moment is equal to zero. We nonparametrically estimate the conditional moment function via series regression and test whether it is identically zero using uniform functional inference. Our approach is...

Expected Shortfall (ES) is the average return on a risky asset conditional on the return being below some quantile of its distribution, namely its Value-at-Risk (VaR). The Basel III Accord, which will be implemented in the years leading up to 2019, places new attention on ES, but unlike VaR,...

We propose forecast encompassing tests for the Expected Shortfall (ES) jointlywith the Value at Risk (VaR) based on flexible link (or combination) functions.Our setup allows testing encompassing for convex forecast combinations and forlink functions which preclude crossings of the combined VaR...