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Bayesian Inference for TIP curves: An Application to Child Poverty in Germany

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Abstract

TIP curves are cumulative poverty gap curves used for representing the three different aspects of poverty: incidence, intensity and inequality. The paper provides Bayesian inference for TIP curves, linking their expression to a parametric representation of the income distribution using a mixture of lognormal densities. We treat specifically the question of zero-inflated income data and survey weights, which are two important issues in survey analysis. The advantage of the Bayesian approach is that it takes into account all the information contained in the sample and that it provides small sample confidence intervals and tests for TIP dominance. We apply our methodology to evaluate the evolution of child poverty in Germany after 2002, providing thus an update the portrait of child poverty in Germany given in Corak et al. 2008.

Suggested Citation

  • Edwin Fourrier-Nicolai & Michel Lubrano, 2017. "Bayesian Inference for TIP curves: An Application to Child Poverty in Germany," AMSE Working Papers 1710, Aix-Marseille School of Economics, Marseille, France.
    • Handle: RePEc:aim:wpaimx:1710
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    References listed on IDEAS

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    1. Goebel, Jan & Kuchler, Birgit, 2003. "Incidence and Intensity of Smoothed Income Poverty in European Countries," EconStor Open Access Articles, ZBW - German National Library of Economics, pages 357-369.
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    3. Miles Corak & Michael Fertig & Marcus Tamm, 2008. "A Portrait Of Child Poverty In Germany," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 54(4), pages 547-571, December.
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    6. Coral del Río & Javier Ruiz-Castillo, 2001. "TIPs for poverty analysis. The case of Spain, 1980-81 to 1990-91," Investigaciones Economicas, Fundación SEPI, vol. 25(1), pages 63-91, January.
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    Keywords

    Bayesian inference; mixture model; survey weights; zero-inflated model; poverty; Inequality;

    JEL classification:

    • C11 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Bayesian Analysis: General
    • C46 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Specific Distributions
    • I32 - Health, Education, and Welfare - - Welfare, Well-Being, and Poverty - - - Measurement and Analysis of Poverty
    • I38 - Health, Education, and Welfare - - Welfare, Well-Being, and Poverty - - - Government Programs; Provision and Effects of Welfare Programs

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