A New Explanation of Some Leiden Ranking Graphs Using Exponential Functions

Title & Authors
A New Explanation of Some Leiden Ranking Graphs Using Exponential Functions
Egghe, Leo;

Abstract
A new explanation, using exponential functions, is given for the S-shaped functional relation between the mean citation score and the proportion of top 10% (and other percentages) publications for the 500 Leiden Ranking universities. With this new model we again obtain an explanation for the concave or convex relation between the proportion of top $\small{100{\theta}%}$ publications, for different fractions of $\small{{\theta}}$.
Keywords
Leiden ranking;exponential function;mean citation rate;S-shaped;
Language
English
Cited by
References
1.
Egghe, L. (2013). Informetric explanation of some Leiden Ranking graphs. Journal of the American Society for Informetric Science and Technology, to appear.

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3.
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