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Beyond unidimensional poverty analysis using distributional copula models for mixed ordered-continuous outcomes

Marra, G; Kneib, T; Donat, F; Maike, H; (2021) Beyond unidimensional poverty analysis using distributional copula models for mixed ordered-continuous outcomes. Journal of the Royal Statistical Society: Series C (Applied Statistics) , 70 (5) pp. 1365-1390. 10.1111/rssc.12517. Green open access

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Abstract

Poverty is a multidimensional concept often comprising a monetary outcome and other welfare dimensions such as education, subjective well-being or health that are measured on an ordinal scale. In applied research, multidimensional poverty is ubiquitously assessed by studying each poverty dimension independently in univariate regression models or by combining several poverty dimensions into a scalar index. This approach inhibits a thorough analysis of the potentially varying interdependence between the poverty dimensions. We propose a multivariate copula generalized additive model for location, scale and shape (copula GAMLSS or distributional copula model) to tackle this challenge. By relating the copula parameter to covariates, we specifically examine if certain factors determine the dependence between poverty dimensions. Furthermore, specifying the full conditional bivariate distribution allows us to derive several features such as poverty risks and dependence measures coherently from one model for different individuals. We demonstrate the approach by studying two important poverty dimensions: income and education. Since the level of education is measured on an ordinal scale while income is continuous, we extend the bivariate copula GAMLSS to the case of mixed ordered-continuous outcomes. The new model is integrated into the GJRM package in R and applied to data from Indonesia. Particular emphasis is given to the spatial variation of the income–education dependence and groups of individuals at risk of being simultaneously poor in both education and income dimensions.

Type: Article
Title: Beyond unidimensional poverty analysis using distributional copula models for mixed ordered-continuous outcomes
Open access status: An open access version is available from UCL Discovery
DOI: 10.1111/rssc.12517
Publisher version: https://doi.org/10.1111/rssc.12517
Language: English
Additional information: © 2021 The Authors. Journal of the Royal Statistical Society: Series C (Applied Statistics) published by John Wiley & Sons Ltd on behalf of Royal Statistical Society. This is an open access article under the terms of the Creative Commons Attribution-NonCommercial-NoDerivs License, which permits use and distribution in any medium, provided the original work is properly cited, the use is non-commercial and no modifications or adaptations are made.
Keywords: Bivariate distributional regression, copula regression, GAMLSS, multidimensional poverty
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Statistical Science
URI: https://discovery.ucl.ac.uk/id/eprint/10133317
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