Geodesic
$\varepsilon$-independence of the sample mean and the tubular statistics
Teoriâ veroâtnostej i ee primeneniâ, Tome 28 (1983) no. 1, pp. 157-163

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The normal law is characterized by the independence of the sample mean and the tubular statistics. We estimate the stability in this characterization problem. 
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     title = {$\varepsilon$-independence of the sample mean and the tubular statistics},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
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     year = {1983},
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     url = {http://geodesic.mathdoc.fr/item/TVP_1983_28_1_a11/}
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L. B. Klebanov; R. V. Yanuškjavičus. $\varepsilon$-independence of the sample mean and the tubular statistics. Teoriâ veroâtnostej i ee primeneniâ, Tome 28 (1983) no. 1, pp. 157-163. http://geodesic.mathdoc.fr/item/TVP_1983_28_1_a11/