Hirsch's h-index: A stochastic model |
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| Institution: | 1. Odense University Hospital, Sdr. Boulevard 29, DK-5000 Odense, Denmark;2. KORA, Danish Institute for Local and Regional Government Research, Copenhagen, Denmark;3. University of Southern Denmark, Odense, Denmark;1. University of West Bohemia, Department of Computer Science and Engineering Univerzitní 8, 30614 Plzeň, Czech Republic;2. Technical University of Ko?ice, Department of Cybernetics and Artificial Intelligence Letná 9, 04001 Ko?ice, Slovakia;1. School of Management, Harbin Institute of Technology, Harbin 150001, PR China;2. Dipartimento Di Economia Politica E Statistica, Università Di Siena, Siena 53100, Italy;3. School of Software, Harbin Institute of Technology, Harbin 150001, PR China |
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| Abstract: | We propose a simple stochastic model for an author's production/citation process in order to investigate the recently proposed h-index for measuring an author's research output and its impact. The parametric model distinguishes between an author's publication process and the subsequent citation processes of the published papers. This allows us to investigate different scenarios such as varying the production/publication rates and citation rates as well as the researcher's career length. We are able to draw tentative results regarding the dependence of Hirsch's h-index on each of these fundamental parameters. We conjecture that the h-index is, according to this model, (approximately) linear in career length, log publication rate and log citation rate, at least for moderate citation rates. |
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