Abstract: | We obtain a criterion for weak convergence of a sequence of stochastic processes
n(t), t 0, 1],n N,
n(t) R
m in the spaceC
m
k
0, 1] of continuously differentiable functions. We consider several examples of weakly convergent sequences of stochastic processes inC
m
k
0, 1] and several integer functionals defined on these random variables.Translated fromTeoriya Sluchainykh Protsessov, Vol. 15, pp. 85–90, 1987. |