Gaussian Approximation of Moments of Sums of Independent Random Variables
Marcin Lis
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 60 (2012), p. 77-90 / Harvested from The Polish Digital Mathematics Library
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We continue the research of Latała on improving estimates of the pth moments of sums of independent random variables with logarithmically concave tails. We generalize some of his results in the case of 2 ≤ p ≤ 4 and present a combinatorial approach for even moments.

Publié le : 2012-01-01
EUDML-ID : urn:eudml:doc:281261 
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     author = {Marcin Lis},
     title = {Gaussian Approximation of Moments of Sums of Independent Random Variables},
     journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
     volume = {60},
     year = {2012},
     pages = {77-90},
     zbl = {1243.60017},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba60-1-6}
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Marcin Lis. Gaussian Approximation of Moments of Sums of Independent Random Variables. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 60 (2012) pp. 77-90. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba60-1-6/