\noindent The paper establishes weak convergence in $C[0,1]$ of normalizedstochastic processes, generated by Toeplitz type quadratic functionals of acontinuous time Gaussian stationary process, exhibiting long-range dependence.Both central and non-central functional limit theorems are obtained.
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机译:\ noindent本文建立了由连续时间高斯平稳过程的Toeplitz型二次函数产生的,具有长期依赖性的归一化随机过程的$ C [0,1] $的弱收敛性。获得了中心和非中心函数极限定理。
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