Theoretical justification of the central area indices and the central interval indices
- 328 Downloads
The central area indices and the central interval indices, as introduced in Dorta-González and Dorta-González (Scientometrics 88(3):729–745, 2011), are studied from a theoretical point of view. They are defined in order to yield higher impact values of “selective” authors (i.e., authors with concentrated number of citations over their publications). We show that this property is not valid for every citation distribution. However, if Zipf’s law is adopted for the citation distribution, we can show that the central area indices and the central interval indices have indeed higher values for more selective authors.
KeywordsCentral area index Central interval index h-index Hirsch index
- Egghe, L. (2005). Power laws in the information production process: Lotkaian informetrics. Oxford (UK): Elsevier.Google Scholar
- Egghe, L., (2010). The Hirsch-index and related impact measures. In: B. Cronin (Ed.), Annual review of information science and technology (vol. 44, pp. 65–114). Medford: Information Today.Google Scholar
- Lotka, A. J. (1926). The frequency distribution of scientific productivity. Journal of the Washington Academy of Sciences, 16(12), 317–324.Google Scholar