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Using copulas to estimate reduced-form systems of equations

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Author Info
Casey Quinn
Abstract

This paper introduces a new approach to measuring the association between health and socioeconomic status. Measuring inequalities in health is difficult when health is measured qualitatively, specifically on an ordinal scale. This paper demonstrates a rank-based dependence measure - the copula - that is invariant to both the scale and any monotonic transformations of its dimensions. Accordingly, the copula measure of association between health and income is robust under different cardinal scales for health as well as different income distributions, and can be used for ordering countries. The copula is also used to generate contingency tables of joint probability, which illustrate how this ordering can be due to polarity in the distributions of health and income, as well as stronger association between the distributions of health and income.

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File URL: http://www.york.ac.uk/res/herc/documents/wp/07_25.pdf
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Publisher Info
Paper provided by HEDG, c/o Department of Economics, University of York in its series Health, Econometrics and Data Group (HEDG) Working Papers with number 07/25.

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Date of creation: Oct 2007
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Handle: RePEc:yor:hectdg:07/25

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Find related papers by JEL classification:
C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General
C3 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables
C5 - Mathematical and Quantitative Methods - - Econometric Modeling
I3 - Health, Education, and Welfare - - Welfare and Poverty
I10 - Health, Education, and Welfare - - Health - - - General

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  1. José M. R. Murteira & Óscar D. Lourenço, 2007. "Health Care Utilization and Self-Assessed Health Specification of Bivariate Models Using Copulas," Health, Econometrics and Data Group (HEDG) Working Papers 07/27, HEDG, c/o Department of Economics, University of York. [Downloadable!]
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