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

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27510%2F19%3A10242956" target="_blank" >RIV/61989100:27510/19:10242956 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S175115771830470X?via%3Dihub" target="_blank" >https://www.sciencedirect.com/science/article/pii/S175115771830470X?via%3Dihub</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.joi.2019.02.003" target="_blank" >10.1016/j.joi.2019.02.003</a>

Result language
angličtina
Original language name
How mean rank and mean size may determine the generalised Lorenz curve: With application to citation analysis
Original language description
Within the wide framework of information production processes, we present a conversion formula that expresses the generalised Lorenz (GL) curve of a size-frequency distribution as a function of the corresponding rank-size distribution using a fully discrete modelling approach. Based on this conversion formula, we introduce a somewhat universal model for the GL curve of the empirical size-frequency distribution. This study's approach to determining the GL curve is indirect, as we obtain our model for the size-frequency framework by modelling the rank-size distribution and not by directly modelling the size distribution or the GL curve itself, as is usually done. Our GL curve model is particularly appealing because it provides a simple and economical description of the distribution that depends on only three quantities: the (i) mean size, (ii) mean rank, and (iii) maximal rank. The model's performance in predicting the shape of the empirical GL curve is illustrated through a case study involving citation analysis. (C) 2019 Association of Polish Electrical Engineers (SEP). Published by Elsevier B.V. All rights reserved.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
50200 - Economics and Business

Project
<a href="/en/project/GJ17-23411Y" target="_blank" >GJ17-23411Y: Income distribution in the society: econometric models and dominance criteria for intersecting Lorenz curves</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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