(1) S. L. Sclove, G. Simons, and J. Van Ryzin. Further remarks on the expectation of the reciprocal of a positive random variable. American Statistician 21 (1967), No. 4, 33-34.

It is noted that the ratio of the (p-1)-st moment to the p-th moment of a positive random variable, where p is any real number, is a nonincreasing function of p; applications of this fact are given and discussed.