Artículo

Gini-stable Lorenz curves and their relation to the generalised Pareto distribution

Resumen

We introduce an iterative discrete information production process where we can extend ordered normalised vectors by new elements based on a simple affine transformation, while preserving the predefined level of inequality, G, as measured by the Gini index. Then, we derive the family of empirical Lorenz curves of the corresponding vectors and prove that it is stochastically ordered with respect to both the sample size and G which plays the role of the uncertainty parameter. We prove that asymptotically, we obtain all, and only, Lorenz curves generated by a new, intuitive parametrisation of the finite-mean Pickands’ Generalised Pareto Distribution (GPD) that unifies three other families, namely: the Pareto Type II, exponential, and scaled beta distributions. The family is not only totally ordered with respect to the parameter G, but also, thanks to our derivations, has a nice underlying interpretation. Our result may thus shed a new light on the genesis of this family of distributions. Our model fits bibliometric, informetric, socioeconomic, and environmental data reasonably well. It is quite user-friendly for it only depends on the sample size and its Gini index.
Bao, Haoran (59488973200); Nikolaeva, Anna (59489398100); Xia, Jun (59148841500); Ma, Feng (59489188000)
Evolution Trends and Future Prospects in Artificial Marine Reef Research: A 28-Year Bibliometric Analysis
2025
10.3390/su17010184
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85214475018&doi=10.3390%2fsu17010184&partnerID=40&md5=de023fd8f5c61e9bce1810c36393d7db
Department of Marine and Fisheries Business Administration, Pukyong National University, Busan, 48513, South Korea; School of Economics and Management, Nanjing Forestry University, Nanjing, 210037, China; Department of Marine Design Convergence Engineering, Pukyong National University, Busan, 48513, South Korea; Department of Environmental Design, Dongseo University, Busan, 47011, South Korea; College of Network Communication, Zhejiang Yuexiu University of Foreign Languages, Shaoxing, 312000, China
All Open Access; Gold Open Access
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