How mean rank and mean size may determine the generalised Lorenz curve: With application to citation analysis

作者：

Highlights：

• A formula gives the exact relation between size-frequency and rank-size distributions.

• Generalised Lorenz curve as a function of three parameters: (i) mean score, (ii) mean size and (iii) maximal rank.

• The model of generalised Lorenz curve is tested in a practical case study involving data from citation analysis.

摘要

•A formula gives the exact relation between size-frequency and rank-size distributions.•Generalised Lorenz curve as a function of three parameters: (i) mean score, (ii) mean size and (iii) maximal rank.•The model of generalised Lorenz curve is tested in a practical case study involving data from citation analysis.

论文关键词：Lorenz curve,Stochastic dominance,Journal ranking,Journal impact factor,Geometric distribution

论文评审过程：Received 21 November 2018, Revised 4 February 2019, Accepted 4 February 2019, Available online 14 February 2019, Version of Record 14 February 2019.

论文官网地址：https://doi.org/10.1016/j.joi.2019.02.003