The statistical regularities observed in the production or use of information are dealt with in this paper. The authors introduce an effort function to establish a relationship between the information content or entropy within the meaning of Shannon’s theory of information and the average amount of effort, by employing a distribution of effort. This formulation clarifies the well-known characteristics of the link between the power distributions and the maximum entropy principle [1]. The presented approach is independent of the result of Price on the cumulative advantage process [2]. This paper will be useful to researchers in scientometrics.