文章基本信息

标题：On Standard Normal Convergence of the Multivariate Student $t$-Statistic for Symmetric Random Vectors
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作者：Giné, Evarist ; Götze, Friedrich
期刊名称：Electronic Communications in Probability
印刷版ISSN：1083-589X
出版年度：2004
卷号：9
页码：162-171
DOI：10.1214/ECP.v9-1120
出版社：Electronic Communications in Probability
摘要：It is proved that if the multivariate Student $t$-statistic based on i.i.d. symmetric random vectors is asymptotically standard normal, then these random vectors are in the generalized domain of attraction of the normal law. Uniform integrability is also considered, even in the absence of symmetry.