Geodesic
Remarks on asymptotic independence
Teoriâ veroâtnostej i ee primeneniâ, Tome 66 (2021) no. 1, pp. 55-72 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this paper, we introduce several natural definitions of asymptotic independence of two sequences of random elements. We discuss their basic properties, some simple connections between them, and connections with properties of weak dependence. In particular, the case of tight sequences is considered in detail. Finally, in order to clarify the relationships between different definitions, we provide some counterexamples.
Keywords: asymptotic independence, weak dependence. 
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Yu. A. Davydov; S. Novikov. Remarks on asymptotic independence. Teoriâ veroâtnostej i ee primeneniâ, Tome 66 (2021) no. 1, pp. 55-72. http://geodesic.mathdoc.fr/item/TVP_2021_66_1_a2/

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