ON THE CLASSIFICATION OF THE CLASSICAL BIBLIOMETRIC LAWS

Leo Egghe

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scientometrics and bibliometrics research Library Science and Information Web visibility and informetrics

Abstract

It is well known that the laws of Leimkuhler, Mandelbrot, Lotka and the verbal formulation of Bradford's law are equivalent. In this note we prove an analogous framework of laws in which now the law of Zipf occurs instead of Mandelbrot's law. Laws in this group are Brookes' law and the graphical formulation of Bradford's law. We show that both groups of laws are very different in the sense that they are not even equal asymptotically for high rankings.

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References

1985CONSEQUENCES OF LOTKA'S LAW FOR THE LAW OF BRADFORD 1986The dual of Bradford's law 1984Ranking techniques and the empirical log law 1987Pratt's measure for some bibliometric distributions and its relation with the 80/20 rule

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2011Bibliometric Analysis of the Indian Journal of Chemistry 2001Links between information construction and information gain. Entropy and bibliometric distributions

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