High Quality Content by WIKIPEDIA articles! The terms long-range dependent, self-similar and heavy-tailed are very close in meaning. Differences in nomenclature hint at the origins and application fields of the terms. These are somewhat different but closely related phenomena. A long-tailed or heavy- tailed probability distribution is one that assigns relatively high probabilities to regions far from the mean or median. A more formal mathematical definition is given below. In the context of teletraffic engineering a number of quantities of interest have been shown to have a long-tailed distribution. For example, if we consider the sizes of files transferred from a web-server, then, to a good degree of accuracy, the distribution is heavy-tailed, that is, there are a large number of small files transferred but, crucially, the number of very large files transferred remains a major component of the volume downloaded.

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