Talk:Long-tail traffic
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This page confused the terms long-range dependent, self-similar and heavy-tailed. These are different but related phenomena. Brownian motion is self-similar but not long-range dependent. Many processes are long-range dependent but not self-similar. The connections between the two phenomena are subtle. Heavy-tailed refers to a probability distribution, and long-range dependent refers to a property of a time series and so these should be used with care and the distinction should be made. The terms are distinct although superpositions of samples from heavy-tailed distributions aggregate to form long-range dependent time series. I have tried to edit to remove the worst of these inaccuracies. I intend to write a page on long-range dependence and another one on heavy tails but I do not have the time immediately avaialable. I hope you will not mind me removing the redirect from long-range dependence (which after all, is much wider a topic than just teletraffic). There were also a few mathematical oopsies and I have tried to remove as many of these as possible. --Richard Clegg 19:00, 2 Mar 2005 (UTC)
Poisson distribution should be linked rather than being described here. This should probably be split into a mathematical page on the distributions and a page on the use in telecommunications networks. Mozzerati 21:41, 2005 Apr 11 (UTC)
