Geodesic
Precise estimates of the metric entropy for the set of arithmetic averages of quasi-stationary processes
Teoriâ veroâtnostej i ee primeneniâ, Tome 51 (2006) no. 4, pp. 785-793 Cet article a éte moissonné depuis la source Math-Net.Ru

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Estimates of the $\varepsilon$-entropy of the set of arithmetic averages for an $R$-quasi-stationary system are obtained depending on the decay rate of the function $R(n)$. It is shown that the deduced estimates are the best in order as $\varepsilon\to+0$.
Keywords: stationary and quasi-stationary sequences, $R$-systems, arithmetic average, $\varepsilon$-entropy of the sets of arithmetic averages, upper and lower estimates. 
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     author = {V. F. Gaposhkin},
     title = {Precise estimates of the metric entropy for the set of arithmetic averages of quasi-stationary processes},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_2006_51_4_a8/}
}
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V. F. Gaposhkin. Precise estimates of the metric entropy for the set of arithmetic averages of quasi-stationary processes. Teoriâ veroâtnostej i ee primeneniâ, Tome 51 (2006) no. 4, pp. 785-793. http://geodesic.mathdoc.fr/item/TVP_2006_51_4_a8/

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