Document Zbl 1123.68017

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Nadarajah, Saralees; Kotz, Samuel

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

Comput. Netw. 51, No. 12, 3650-3654 (2007).

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.

Cited in 3 Documents

MSC:

68M10

Network design and communication in computer systems

Keywords:

inter arrival time; computer network

Software:

ARTP

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