Gaussian Approximation of Moments of Sums of Independent Random Variables
Tom 60 / 2012
Bulletin Polish Acad. Sci. Math. 60 (2012), 77-90
MSC: 60E15, 60F05.
DOI: 10.4064/ba60-1-6
Streszczenie
We continue the research of Latała on improving estimates of the $p$th moments of sums of independent random variables with logarithmically concave tails. We generalize some of his results in the case of $2 \leq p \leq 4$ and present a combinatorial approach for even moments.