Geodesic
Convergence rate in limit theorems for weakly dependent random variables
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 155 (2013) no. 4, pp. 40-47

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We define a new condition for weak dependence of random variables, which makes it possible to extend limit theorems for independent random variables to the case of a weak dependence with retention of convergence rate. We give an example of a sequence of random variables satisfying the new weak dependence condition.
Keywords: limit theorems, independence, weak dependence, mixing
Mots-clés : random variables, convergence rate. 
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     author = {V. T. Dubrovin},
     title = {Convergence rate in limit theorems for weakly dependent random variables},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {40--47},
     publisher = {mathdoc},
     volume = {155},
     number = {4},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2013_155_4_a3/}
}
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V. T. Dubrovin. Convergence rate in limit theorems for weakly dependent random variables. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 155 (2013) no. 4, pp. 40-47. http://geodesic.mathdoc.fr/item/UZKU_2013_155_4_a3/