Troshki N. Simulation of random fields

Using the modified method of partition and randomization of the spectrum we constructed the models of Gaussian non-stationary stochastic processes and fields. Also we investigated conditions and estimations convergence of the models by probability in the spaces C(T) and $Lp (T)$.We find new bounds for Bessel functions; as well we obtained estimates of moments. We constructed model for a homogeneous and isotropic Gaussian random field that approximate it with a given reliability and accuracy in the spaces C(T) and . The conditions of convergence of the model of some shot noise processes by probability in the space C(T) are investigated.