Duality revisited: Construction of fractional frequency distributions based on two dual Lotka laws

Fractional frequency distributions of e.g. authors with a certain (fractional) number of papers are very irregular and, therefore, not easy to model or to explain. This paper gives a first attempt to this by assuming two simple Lotka laws (with exponent 2) : one for the number of authors with n papers (total count here) and one for the number of papers with n authors, ncN. Based on an earlier made convolution model of Egghe, interpreted and reworked now for discrete scores, we are able to produce theoretical fractional frequency 'Permanent address. Research on this paper has been executed while this author was a visiting professor in LUC. He is grateful to LUC for financial support. 

• Type: Journal
• Year: 2002
• Where: JASIS
• Authors: Leo Egghe, I. K. Ravichandra Rao
• Keywords: Fractional Frequency, Fractional Frequency Distributions, JASIS 2002, Simple Lotka Laws