Abstract
• New properties of Leimkuhler curve using quantile functions. • Several quantile function models for bibliometric data analysis. • Relationship of Leimkuhler curve with L-moments, Gini index, reliability measures and economic measures. • Analysis of SJR scores and H-index using quantile functions. In the present work, we propose some transformations of quantile functions in informetry. We derive some new properties of Leimkuhler curves using quantile functions. Several quantile function models are presented along with the measures useful in informetrics. Applications of quantile functions in modelling and analysis of bibliometric data are also discussed with the aid of real data sets.
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