Statistical regularities in the rank-citation profile of scientists

@article{Petersen2011StatisticalRI,
  title={Statistical regularities in the rank-citation profile of scientists},
  author={A. Petersen and H. Stanley and S. Succi},
  journal={Scientific Reports},
  year={2011},
  volume={1}
}
Recent science of science research shows that scientific impact measures for journals and individual articles have quantifiable regularities across both time and discipline. However, little is known about the scientific impact distribution at the scale of an individual scientist. We analyze the aggregate production and impact using the rank-citation profile ci(r) of 200 distinguished professors and 100 assistant professors. For the entire range of paper rank r, we fit each ci(r) to a common… Expand
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71 Citations
Background Citations
17
Methods Citations
3

71 Citations

Citation Type

Citation Type

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References

SHOWING 1-10 OF 57 REFERENCES
Methods for measuring the citations and productivity of scientists across time and discipline.
TLDR
Normalize publication metrics in order to achieve a universal framework for analyzing and comparing scientific achievement across both time and discipline, and uncovers quantifiable statistical regularity in the probability density function of scientific achievement in all journals analyzed. Expand
Universality of citation distributions: Toward an objective measure of scientific impact
TLDR
It is shown that the probability that an article is cited c times has large variations between different disciplines, but all distributions are rescaled on a universal curve when the relative indicator cf = c/c0 is considered, where c0 is the average number of citations per article for the discipline. Expand
How popular is your paper? An empirical study of the citation distribution
Abstract:Numerical data for the distribution of citations are examined for: (i) papers published in 1981 in journals which are catalogued by the Institute for Scientific Information (783,339 papers)… Expand
The stability of the h-index
TLDR
It is shown that although the ranking of the h-index is stable under most of these changes, it is unstable when different databases are used and comparisons should only be trusted when the rankings of multiple citation databases agree. Expand
Diffusion of scientific credits and the ranking of scientists
TLDR
This work takes advantage of the entire Physical Review publication archive to construct authors' networks where weighted edges, as measured from opportunely normalized citation counts, define a proxy for the mechanism of scientific credit transfer. Expand
The w-index: A measure to assess scientific impact by focusing on widely cited papers
TLDR
The w(q)-index is put forward to improve the discriminatory power of the w-index and to rank scientists with the same w, where the factor q is the least number of citations a researcher with w needed to reach w+1. Expand
The w-index: A measure to assess scientific impact by focusing on widely cited papers
  • Qiang Wu
  • Computer Science
  • J. Assoc. Inf. Sci. Technol.
  • 2010
TLDR
The results demonstrate that there are noticeable differences between the w-index and the h-index, which can be measured by comparing the ranks of 20 astrophysicists, a few famous physical scientists, and 16 Price medalists. Expand
Hirsch's h-index: A stochastic model
  • Q. Burrell
  • Mathematics, Computer Science
  • J. Informetrics
  • 2007
TLDR
It is 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. Expand
Rescaling citations of publications in Physics
TLDR
It is shown that rescaling citation numbers by the number of publication authors has strong effects and should therefore be taken into account when assessing the bibliometric performance of researchers. Expand
How Citation Boosts Promote Scientific Paradigm Shifts and Nobel Prizes
TLDR
It is found that groundbreaking discoveries of Nobel Prize Laureates and other famous scientists are not only acknowledged by many citations of their landmark papers, but also boost the citation rates of their previous publications. Expand
...
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5
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