Bradford Distribution

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The Bradford distribution (also called the Bradford Law of Scattering) is a right-skewed distribution with a peak at the distribution’s minimum. It similar in shape to a right-truncated Pareto distribution and is a special case of the beta distribution of the second kind or Pearson’s Type VI.

The probability density function (PDF) for the Bradford distribution is:

bradford distribution
The Bradford distribution PDF, where x is a proportion.

Bradford distribution uses

The distribution was first described by Bradford in 1949, when he used it to show how sources are distributed in the field of documentation. It shows how information about a particular subject is scattered throughout various references, where the information is likely to be found. The information isn’t randomly scattered, but rather follows the characteristic pattern (Fidel, 2002).

Bradford found that a small number of popular journals contained as many papers on a particular topic as a larger number of papers (n), which in turn contains as many papers as an even larger number of papers, n2. The exact numbers depend on the topic being studied. But let’s say you were studying how often articles on the topic of “bariatric surgery” showed up in journals. You might find that the top 10 journals had 20 articles on bariatric surgery in the last year. Another 50 less popular journals might also have 20 articles on that topic, while the remaining journals (say, 200) also have the same number of articles (20). Thus, articles of interest tend to be clustered towards a core group of journals.

This application is called “bradfordization” and explains the differences among subject and comprehensiveness of search in historical literature studies. 


Crestani, F. & Ruthven, I. (2005). Information Context: Nature, Impact, and Role: 5th International Conference on Conceptions of Library and Information Sciences, CoLIS 2005, Glasgow, UK, June 4-8, 2005 Proceedings. Springer Science and Business Media.

Evans, M.; Hastings, N.; and Peacock, B. “Probability Density Function and Probability Function.” §2.4 in Statistical Distributions, 3rd ed. New York: Wiley, pp. 9-11, 2000.

Fidel, R. (2002). CoLIS 4: Proceedings of the Fourth International Conference on Conceptions of Library and Information Science, Seattle, WA, USA, July 21-25, 2002.

LEIMKUHLER, F.F. (1967), “THE BRADFORD DISTRIBUTION”, Journal of Documentation, Vol. 23 No. 3, pp. 197-207.