Continuous, weighted Lorenz theory and applications to the study of fractional relative impact factors

This paper introduces weighted Lorenz curves of a continuous variable, extending the discrete theory as well as the non-weighted continuous model. Using publication scores (in function of time) as the weights and citation scores (in function of time) as the dependent variables, we can construct an "impact Lorenz curve" in which one can read the value of any fractional impact factor, i.e. an impact factor measured at the time 1 Permanent address