TY - JOUR
T1 - Bounds on the concentration function in terms of the Diophantine approximation
AU - Friedland, Omer
AU - Sodin, Sasha
PY - 2007/11/1
Y1 - 2007/11/1
N2 - We demonstrate a simple analytic argument that may be used to bound the Lévy concentration function of a sum of independent random variables. The main application is a version of a recent inequality due to Rudelson and Vershynin, and its multidimensional generalization. To cite this article: O. Friedland, S. Sodin, C. R. Acad. Sci. Paris, Ser. I 345 (2007).
AB - We demonstrate a simple analytic argument that may be used to bound the Lévy concentration function of a sum of independent random variables. The main application is a version of a recent inequality due to Rudelson and Vershynin, and its multidimensional generalization. To cite this article: O. Friedland, S. Sodin, C. R. Acad. Sci. Paris, Ser. I 345 (2007).
UR - http://www.scopus.com/inward/record.url?scp=36049009154&partnerID=8YFLogxK
U2 - 10.1016/j.crma.2007.10.006
DO - 10.1016/j.crma.2007.10.006
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AN - SCOPUS:36049009154
SN - 1631-073X
VL - 345
SP - 513
EP - 518
JO - Comptes Rendus Mathematique
JF - Comptes Rendus Mathematique
IS - 9
ER -