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On the convolution of Pareto and gamma distributions. (English) Zbl 1123.68017
Summary: 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.

MSC:
68M10 Network design and communication in computer systems
Software:
ARTP
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