From the Statistical Consequences of Fat Tails (N. Taleb): "We will address ad nauseam the central limit theorem but here is the initial intuition. It states t

From the Statistical Consequences of Fat Tails (N. Taleb): "We will address ad nauseam the central limit theorem but here is the initial intuition. It states that n-summed independent random variables with finite second moment end up looking like a Gaussian distribution. Nice story, but how fast? Power laws on paper need an infinity of such summands, meaning they never really reach the Gaussian. Chapter 7 deals with the limiting distributions and answers the central question: "how fast?" both for CLT and LLN. How fast is a big deal because in the real world we have something different from n equals infinity." https://arxiv.org/abs/2001.10488 https://arxiv.org/abs/2001.10488