期刊名称：Sankhya. Series A, mathematical statistics and probability
印刷版ISSN：0976-836X
电子版ISSN：0976-8378
出版年度：2005
卷号：67
期号：04
出版社：Indian Statistical Institute
摘要：A sequence $\left\{X_n\right\}$ of random elements taking values in a real separable Hilbert space $H$ converges in distribution to a $H$-valued random element $X$ if the sequence of linear functionals $\left\{\right\}$ converges in distribution to $$ for every $x\in H$ and $\left\{\|X_n\|\right\}$ converges in distribution to $\|X\|$.
关键词：Convergence in distribution, convergence in probability, Skorohod-Dudley-Wichura representation.
