Talk:Long-tail traffic

This article talks about a few diagrams, but the diagrams do not appear. In one case the diagram is replaced by a hyperlink to an image upload page. Please locate the diagrams, because they sounded informative. I am viewing the page with Firefox 3.6.8 on Windows XP Thanks Evan --58.173.93.52 (talk) 08:44, 14 August 2010 (UTC)

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)

Also, poisson distributions are not |memoryless. The waiting time in a poisson process is memoryless, but thats a slight bit different. The heavy tail is really contrasting with the (actually memoryless) exponential distribution. 50.136.92.185 (talk) 03:44, 22 March 2012 (UTC)

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 * Added tag to http://www.ee.mu.oz.au/pgrad/tneame/presentations/traffmod1
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 * Added archive https://web.archive.org/web/20050315175119/http://ite.gmu.edu/graduateresearch/heavy_tails.htm to http://ite.gmu.edu/graduateresearch/heavy_tails.htm
 * Added archive https://web.archive.org/web/20051215045809/http://www.rl.af.mil/tech/programs/aior/HTDist.html?return=BACK to http://www.rl.af.mil/tech/programs/aior/HTDist.html?return=BACK
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