Weak convergence of stochastic processes from spaces $F_\psi(\Omega)$

This paper is devoted to the investigation of conditions for the eak convergence in the space $C(T)$ of the stochastic processes from the space $\mathbf{F}_\psi(\Omega)$. Using this conditions the limit theorem for stochastic processes from the space $\mathbf{F}_\psi(\Omega)$ has been obtained. This theorem can be utilized for gaining the given approximation accuracy and reliability of integrals depending on parameter by Monte Carlo method.