A New Explanation of Some Leiden Ranking Graphs Using Exponential Functions

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 $100{\theta}%$ publications, for different fractions of ${\theta}$.

Keywords

• Leiden ranking
• exponential function
• mean citation rate
• S-shaped