Abstract : This article aims at demonstrating that the study of statistical distributions in information sciences provides the tools to apprehend and define concepts related with information use and production. One will briefly outline what should be infometrics laws, then one will define what is in our sense duality and statistic information field. Simple mathematical milestones will be given. The study relies on data gathered in libraries, in a document supplier, on Web site visits. These data allow to formalize and modelize processes of information use and production . Thus, these data lead to define the concept of infometric field of use and production, with help of mathematics.