1998 HowPopIsYourPaperAnEmpiricalStudyOfTheCitatDistr

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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) and (ii) 20 years of publications in Physical Review D, vols. 11-50 (24,296 papers). A Zipf plot of the number of citations to a given paper versus its citation rank appears to be consistent with a power-law dependence for leading rank papers. with exponent close to -1/2. This, in turn, suggests that the number of papers with x citations, N(x), has a large-x power law decay N(x) ∼ x-α, with [math]\displaystyle{ α }[/math] 3.

References

  • See e.g., Science Citation Index Journal Citation Reports (Institute for Scientific Information, Philadelphia) for annual lists of top-cited journals and articles (web site: http://www.isinet.com/welcome.html).
  • For example, current lists of top-cited articles in high-energy physics are maintained by the SPIRES High-Energy Physics Database at SLAC (web site http://www.slac.stanford.edu/find/top40.html).
  • W. Shockley, Proceedings of IRE 45, 279-290 (1957).
  • J. Laherrere, D. Sornette, Eur. Phys. J. B 2, 525-539 (1998).
  • The PRD data was provided by H. Galic from the SPIRES Database. The ISI data was provided by D. Pendlebury and H. Small of the Institute for Scientific Information. These two data sets and related citation data are available from my web site http://physics.bu.edu/~redner.
  • G.K. Zipf, Human Behaviour and the Principle of Least Effort (Addison-Wesley, Cambridge, 1949).
  • This is a basic exercise in extreme value statistics. See e.g., J. Galambos, The Asymptotic Theory of Extreme Order Statistics (J. Wiley & Sons, New York, 1978).


 AuthorvolumeDate ValuetitletypejournaltitleUrldoinoteyear
1998 HowPopIsYourPaperAnEmpiricalStudyOfTheCitatDistrSydney RednerHow Popular Is Your Paper? An Empirical Study of the Citation DistributionThe European Physical Journal Bhttp://dbserv.pnpi.spb.ru/elbib/journals/10051/papers/8004002/80040131.pdf10.1007/s1005100503591998