This article's factual accuracy is disputed. (December 2016) |
The discrete-stable distributions[1] are a class of probability distributions with the property that the sum of several random variables from such a distribution under appropriate scaling is distributed according to the same family. They are the discrete analogue of the continuous-stable distributions.
The discrete-stable distributions have been used in numerous fields, in particular in scale-free networks such as the internet, social networks[2] or even semantic networks.[3]
Both the discrete and continuous classes of stable distribution have properties such as infinite divisibility, power law tails and unimodality.
The most well-known discrete stable distribution is the Poisson distribution which is a special case.[4] It is the only discrete-stable distribution for which the mean and all higher-order moments are finite.[dubious – discuss]
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