Finally, after years of struggling to convince reviewers that the Lambert W function is indeed a useful mathematical function I published a sequel to the original Lambert W paper: this time it’s about heavy tails and how to model it, but also remove it from data. The paper is entitled “The Lambert Way to Gaussianize heavy-tailed data with the inverse of Tukey’s h transformation as a special case”.

For those of you who know Tukey’s h distribution, heavy tail Lambert W x F distributions are a generalization of it and I show the explicit inverse (even though some reviewers – I think – don’t want to acknowledge this, because they have worked on it previously and deemed it impossible.)