Geodesic
On the central limit theorem along subsequences of noncorrelated observations
Teoriâ veroâtnostej i ee primeneniâ, Tome 48 (2003) no. 4, pp. 745-765

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We study the asymptotic behavior of distributions of normalized and self-normalized sums along suitable subsequences of noncorrelated random variables.
Keywords: typical distributions, central limit theorem, self-normalized statistics
Mots-clés : concentration, orthogonal polynomials. 
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     author = {S. G. Bobkov and F. G\"otze},
     title = {On the central limit theorem along subsequences of noncorrelated observations},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {745--765},
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     number = {4},
     year = {2003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TVP_2003_48_4_a5/}
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S. G. Bobkov; F. Götze. On the central limit theorem along subsequences of noncorrelated observations. Teoriâ veroâtnostej i ee primeneniâ, Tome 48 (2003) no. 4, pp. 745-765. http://geodesic.mathdoc.fr/item/TVP_2003_48_4_a5/