ON A CONJECTURE OF FEIGE FOR DISCRETE LOG-CONCAVE DISTRIBUTIONS.

A remarkable conjecture of Feige [SIAM J. Comput., 35 (2006), pp. 964-984] asserts that for any collection of n independent nonnegative, where X = Σ ni=1=i. In this paper, we investigate thisconjecture for the class of discrete log-concave probability distributions, and we prove a strengthened version. More specifically, we show that the conjectured bound 1/e holds when Xi's are independent discrete log-concave with arbitrary expectation. [ABSTRACT FROM AUTHOR]