Extending the Lorenz curve to higher dimensions: A multivariate quantile function approach

Extending the Lorenz curve to higher dimensions: A multivariate quantile function approach | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article Extending the Lorenz curve to higher dimensions: A multivariate quantile function approach Shifna P R, Sunoj S M This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-6225354/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract Real-world inequality often involves multiple attributes such as income, education, and health, necessitating a higher-dimensional approach to inequality measurement. This paper introduces a multivariate Lorenz curve based on multivariate quantile functions, capturing the joint distribution of multiple attributes and providing an interpretable measure of multidimensional inequality. Theoretical properties are explored, its relationship with the multivariate Leimkuhler curve is established, and a statistical analysis is conducted using real-world data. This framework offers a comprehensive tool for studying inequality across various socioeconomic dimensions. Multivariate Lorenz curve Gini index Multivariate Leimkuhler curve Multivariate quantile functions. JEL Classification: C46 D63 Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Posted Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. 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