On some stopping times of citation processes: from theory to indicators
Information Processing and Management: an International Journal - Special issue on Informetrics
Dynamic h-index: The Hirsch index in function of time: Brief Communication
Journal of the American Society for Information Science and Technology
Theory of first-citation distributions and applications
Mathematical and Computer Modelling: An International Journal
Mathematical study of h-index sequences
Information Processing and Management: an International Journal
Time-dependent Lotkaian informetrics incorporating growth of sources and items
Mathematical and Computer Modelling: An International Journal
The Hirsch index and related impact measures
Annual Review of Information Science and Technology
| Hi-index | 0.98 |
The model for the cumulative nth citation distribution, as developed in [L. Egghe, I.K. Ravichandra Rao, Theory of first-citation distributions and applications, Mathematical and Computer Modelling 34 (2001) 81-90] is extended to the general source-item situation. This yields a time-dependent Lotka function based on a given (static) Lotka function (considered to be valid for time t=~). Based on this function, a time-dependent Lotkaian informetrics theory is then further developed by e.g. deriving the corresponding time-dependent rank-frequency function. These tools are then used to calculate the dynamical (i.e. time-dependent) g-index (of Egghe) while also an earlier proved result on the time-dependent h-index (of Hirsch) is refound. It is proved that both indexes are concavely increasing to their steady state values for t=~.