Geodesic
Compactness and the concentration functions of the
Teoriâ veroâtnostej i ee primeneniâ, Tome 50 (2005) no. 1, pp. 81-97

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A relationship is investigated between the compactness conditions of the distributions of sums of independent identically distributed random variables under an appropriate scaling and the behavior of the sequence of concentration functions of these sums.
Keywords: independent identically distributed random variables, sum, median, compactness, finite noncompactness, Levy concentration function, censored variance, majorizied varying function, unimodal distribution.
Mots-clés : convolution, quantile 
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     author = {B. A. Rogozin},
     title = {Compactness and the concentration functions of the},
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     url = {http://geodesic.mathdoc.fr/item/TVP_2005_50_1_a3/}
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B. A. Rogozin. Compactness and the concentration functions of the. Teoriâ veroâtnostej i ee primeneniâ, Tome 50 (2005) no. 1, pp. 81-97. http://geodesic.mathdoc.fr/item/TVP_2005_50_1_a3/