The weak convergence of the Stochastic processes and are given in this paper, where{Zn(u,v):0≤u,v≤1} is an empirical copula process. And their limits arc sup∫Gc2(u, v)dudv respectively, where Gc(u,v) is a Gaussian process. Using the result, new hypothesis testing statistics can be built to estimate the parameters of copula function. |