Extreme values in ON/OFF models of teletraffic under permanent and periodic measurements

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.