Extreme values in ON/OFF models of teletraffic under permanent and periodic measurements
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2018), pp. 9-15
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The asymptotic behavior of stream intensity extreme values in ON/OFF models of teletraffic under permanent and periodic measurements is studied. It is assumed that the intensity of each source has a distribution with a heavy (regularly varying) tail. A joint limiting distribution for maxima with a common linear normalization, marginal distributions and the distribution of the maxima ratio are obtained. The extremal index for a sequence of periodic measurements is calculated.
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A. V. Lebedev. Extreme values in ON/OFF models of teletraffic under permanent and periodic measurements. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2018), pp. 9-15. http://geodesic.mathdoc.fr/item/VMUMM_2018_4_a1/

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