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Almost sure invariance principle for the Kantorovich distance between the empirical and the marginal distributions of strong mixing sequences
Statistics & Probability Letters ( IF 0.9 ) Pub Date : 2021-04-01 , DOI: 10.1016/j.spl.2020.108991
Jérôme Dedecker , Florence Merlevède

Abstract We prove a strong invariance principle for the Kantorovich distance between the empirical distribution and the marginal distribution of stationary α -mixing sequences.

中文翻译:

强混合序列的经验分布和边缘分布之间的 Kantorovich 距离的几乎确定不变性原理

摘要 我们证明了经验分布与平稳α-混合序列的边缘分布之间的Kantorovich距离的强不变性原理。
更新日期:2021-04-01
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