Before revision:  However, when we are in a heavy-tailed context (in particular when our data are described by a Pareto distribution, as is common in much of extreme value theory), the theory of [ 4 ] is insufficient, and requires an additional regularization step which we introduce.
After revision:  However, when we are in a heavy-tailed context (in particular when our data are described by a Pareto distribution, as is common in much of extreme value theory), the theory of [ 5 ] is insufficient, and requires an additional regularization step which we introduce.