文章基本信息

标题：On weak convergence in $\mathcal{M}\left({H}\right)$: relaxation of a sufficient condition
作者：Subrata Kundu ; Suman Majumdar ; Arindam Sengupta 等
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：2014
卷号：76
期号：1
页码：146-149
DOI：10.1007/s13171-013-0039-7
语种：English
出版社：Indian Statistical Institute
摘要：Theorem 2.2 of Majumdar (Sankhyā 67:670–673, 2005 ) obtained two conditions that are necessary and jointly sufficient for weak convergence in $ {\mathcal{M}}\left({H}\right)$ . In this note we significantly relax the second condition while maintaining the joint sufficiency.
关键词：Convergence in distribution ; convergence in probability.