A note on sums of independent random variables

Details A note on sums of independent random variables A note on sums of independent random variables

1998-04-14

arxiv.org/abs/math/9804068v2

Advances in Stochastic Inequalities, Ed.: T. Hill and C. Houdre, Contemporary Mathematics 234, A.M.S., Providence R.I., 1999

Mathematics

Probability

Also available at http://www.math.missouri.edu/~stephen/preprints/

Scientific paper

In this note a two sided bound on the tail probability of sums of
independent, and either symmetric or nonnegative, random variables is obtained.
We utilize a recent result by Lata{\l}a on bounds on moments of such sums. We
also give a new proof of Lata{\l}a's result for nonnegative random variables,
and improve one of the constants in his inequality.

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