Geodesic
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. 
@article{VMUMM_2018_4_a1,
     author = {A. V. Lebedev},
     title = {Extreme values in {ON/OFF} models of teletraffic under permanent and periodic measurements},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {9--15},
     publisher = {mathdoc},
     number = {4},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2018_4_a1/}
}
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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/