Modeling of flows with the power-law spectral densities and power-law distributions of flow’s intensities

We present analytical and numerical results of modeling of flows represented as the correlated non-Poissonian point process and as the Poissonian sequence of pulses of the different size. Both models may generate signals with the powerlaw distributions of the intensity of the flow and the power-law spectral density. Furthermore, different distributions of the interevent time of the point process and different statistics of the size of pulses may result in 1/f noise with 0.5 . β . 2. Combination of the models is applied for modeling of the Internet traffic.