Stable distributions are an important general class of probability distributions on R that are defined in terms of location-scale transformations. Stable distributions occur as limits (in distributi...Stable distributions are an important general class of probability distributions on R that are defined in terms of location-scale transformations. Stable distributions occur as limits (in distribution) of scaled and centered sums of independent, identically distributed variables. Such limits generalize the central limit theorem, and so stable distributions generalize the normal distribution in a sense. The pioneering work on stable distributions was done by Paul Lévy.
