A note on sums of independent random variables
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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 Latała on bounds on moments of such sums. We also give a new proof of Latała's result for nonnegative random variables, and improve one of the constants in his inequality.
Also available at http://www.math.missouri.edu/~stephen/preprints/
Also available at http://www.math.missouri.edu/~stephen/preprints/