On the convolution of Pareto and gamma distributions

descriptionPublicationkeyboard_double_arrow_right Article 01 Aug 2007 English Publisher:Elsevier BVJournal:Computer Networks, volume 51, pages 3,650-3,654 (issn: 1389-1286,

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Authors: Saralees Nadarajah; Samuel Kotz;

doi: 10.1016/j.comnet.2007.03.003

On the convolution of Pareto and gamma distributions

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Abstract

It is well established that the burst and idle times for on/off traffic are modeled by the Pareto and gamma distributions, respectively. Thus, the inter arrival times between on-traffic (off-traffic) is the convolution of Pareto and gamma random variables. In this note, we derive exact expressions for the probability density function of the inter arrival times. A computer program and tabulations of the associated percentage points are also provided.

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