The Bibliometric Distributions
The Library QuarterlyPublished 1 October 1976
Abraham Bookstein
Citations58
SJR quartileQ1
SJR score0.72
SNIP0.98
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Abstract
One of the more surprising findings in the information sciences is the recurrence of a small number of frequency distributions. In this paper, these distributions are described, and a point of view is adopted that allows us to understand them as being different versions of a single distribution. The empirical distributions are shown to be special cases of a single theoretic distribution. It is found that when random fluctuations are introduced, the distributions are not strongly influenced.
Keywords
Computer ScienceEconomics, Econometrics and FinancePhysics and Astronomy
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This paper builds on the work of Buckland and Hindle regarding statistical distribution as applied to the field of bibliometrics, particularly the use of empirical laws, and discusses the characteristics of hyperbolic distributions and the Bradford distribution.
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The model is derived from S. C. Bradford's ‘law of scattering’ and is called the Bradford Distribution and is used to predict the reference yield of abstracting journals in a search for thermophysical property data.
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An analysis of periodical references, borrowed by the library of Butterwick Research Laboratories from outside libraries, found a certain misunderstanding became evident in the algebraic analysis carried out by Bradford and his collaborators, further consideration of which has proved of interest.
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The present paper shows that the Bradford distribution is closely related to the Zipf distribution, which requires data on only the most productive journals, is mathematically simple and amenable to graphical methods if a proposed idea of the ‘completeness’ of a search is accepted.
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The purpose of the investigation to be reported here differs in one essential respect from the purpose of most statistical studies on problems of communication: some statistical concepts developed in the study of recent communication problems are used side by side with such concepts of physics as were already used to solve older engineering problems.
