Statistical regularities in the rank-citation profile of scientists

  title={Statistical regularities in the rank-citation profile of scientists},
  author={Alexander Michael Petersen and Harry Eugene Stanley and Sauro Succi},
  journal={Scientific Reports},
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… 
On the evolution and utility of annual citation indices
The newly introduced annual citation rate factor helps in understanding the effect of scaling the number of citation by the total number of publications, and has an universal feature - it shows a maximum at the rate scaled by half the average.
Two possible reasons are considered that might explain the deviation from linear negative-slope (Hirsch) citation-paper rank distribution, reflecting the fact of growing productivity in the course of a scientific career, as well as the increase of publication rates on global scale.
Analysis of bibliometric indicators for individual scholars in a large data set
This work analyzes the scientific profile of more than 30,000 researchers, and finds that the h-index of a scientist is strongly correlated with the number of citations that she/he has received so that theNumber of citations can be effectively be used as a proxy of theh-index.
The Distribution of the Asymptotic Number of Citations to Sets of Publications by a Researcher or from an Academic Department Are Consistent with a Discrete Lognormal Model
This work argues that most existing bibliometric indicators are inconsistent, biased, and, worst of all, susceptible to manipulation, and pursues a principled approach to the development of an indicator to quantify the scientific impact of both individual researchers and research institutions grounded on the functional form of the distribution of the asymptotic number of citations.
Citation Indices : A Comparative Study
We study the statistics of citations made to the indexed Science journals in the Journal Citation Reports during the period 2004-2013 using different measures. We consider different measures which
Universality of Citation Distributions for Academic Institutions and Journals
This work studies the distributions of citations to publications from individual academic institutions for a single year to find this feature seems to be universal for a broad selection of institutions irrespective of the average number of citations per article.
A geometric model for the analysis of citation distributions
An empirical study for modeling the citation distribution of papers of individual authors using different mathematical models, namely: zeta, geometric, logarithmic and Pareto, finds that the geometric distribution can provide an adequate tool for the modelization of the Citation distribution of an author.
Science and Facebook: The same popularity law!
It is found that the distribution of “shares” for the Facebook posts rescale in the same manner to the very same curve with scientific citations, suggesting that citations are subjected to the same growth mechanism with Facebook popularity measures.


Methods for measuring the citations and productivity of scientists across time and discipline.
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.
Universality of citation distributions: Toward an objective measure of scientific impact
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.
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)
The stability of the h-index
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.
The w-index: A measure to assess scientific impact by focusing on widely cited papers
  • Qiang Wu
  • Physics
    J. Assoc. Inf. Sci. Technol.
  • 2010
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.
Hirsch's h-index: A stochastic model
Rescaling citations of publications in Physics
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.
How Citation Boosts Promote Scientific Paradigm Shifts and Nobel Prizes
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.
Is it possible to compare researchers with different scientific interests?
This work has obtained the rank plots of h and h I for four Brazilian scientific communities and found the h I index rank plots collapse into a single curve allowing comparison among different research areas.
Nonuniversal power law scaling in the probability distribution of scientific citations
A model for the distribution of scientific citations is developed and it is found that papers having few citations are cited mainly by the direct mechanism, and papers already having many citations (“classics”) are cited mostly by the indirect mechanism.