Alsmeyer, Gerold - In: Statistics & Probability Letters 26 (1996) 1, pp. 75-82
In this note we give some results on the nonnegativity of odd functional moments of random variables with a decreasing density. More precisely, we prove by purely elementary arguments, Egf(X - EX) [greater-or-equal, slanted] 0 for suitable functions gf that satisfy gf(x) = -gf(-x) for all x...