(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.