In many applications, assumptions about the log-concavity of a probability distribution allow just enough special structure to yield a workable theory. This paper catalogs a series of theorems relating log-concavity and/or log-convexity of probability density functions, distribution functions,...

Consider a public utility that offers its service at two different times. We study the effects of a change from uniform pricing throughout the day to peak-load pricing. We show that for a utility constrained to operate with a fixed rate of return on capital, the introduction of peak-load pricing...