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Lorenz Curve Inference with Sample Weights: An Application to the Distribution of Unemployment Experience

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  • C. M. Beach
  • S. F. Kaliski
Abstract
This paper extends the recent methodology of Beach and Davidson, 1983, on performing statistical inference with Lorenz curves and quantile shares to samples which involve weighted observations. Examples of such survey samples are the Current Population Survey in the United States, the Survey of Personal Incomes in the U.K. and the Labour Force Survey in Canada. The paper presents an efficient computational algorithm and provides appropriate inference formulas (equations (1 )‐(3)) which are directly applicable to standard national surveys. An example is presented that involves a novel application of Lorenz curves to the distribution of unemployment experience. This allows one to analyze in disaggregative fashion the distribution of the burden of unemployment across workers in the economy. The distribution of unemployment is shown to be highly unequal and to differ significantly between men and women, particularly among those experiencing the least and greatest amounts of unemployment.

Suggested Citation

  • C. M. Beach & S. F. Kaliski, 1986. "Lorenz Curve Inference with Sample Weights: An Application to the Distribution of Unemployment Experience," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 35(1), pages 38-45, March.
    • Handle: RePEc:bla:jorssc:v:35:y:1986:i:1:p:38-45
    DOI: 10.2307/2347862
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    Cited by:

    1. Chiou, Jong-Rong, 1996. "A dominance evaluation of Taiwan's official income distribution statistics, 1976-1992," China Economic Review, Elsevier, vol. 7(1), pages 57-75.
    2. Juan Ramón García López, "undated". "El diseño complejo de la encuesta de estructura salarial 1995: Implicaciones sobre la estimación de medidas de desigualdad," Working Papers 2003-24, FEDEA.
    3. P. Jenkins, Stephen & A. Cowell, Frank, 2000. "Estimating welfare indices: household weights and sample design," ISER Working Paper Series 2000-23, Institute for Social and Economic Research.
    4. William Horrace & Joseph Marchand & Timothy Smeeding, 2008. "Ranking inequality: Applications of multivariate subset selection," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 6(1), pages 5-32, March.
    5. Cowell, Frank & Victoria-Feser, Maria-Pia, 1998. "Statistical inference for Lorenz curves with censored data," LSE Research Online Documents on Economics 2049, London School of Economics and Political Science, LSE Library.
    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.
    7. Edwin Fourrier-Nicolaï & Michel Lubrano, 2020. "Bayesian inference for TIP curves: an application to child poverty in Germany," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 18(1), pages 91-111, March.
    8. Garner, Thesia I. & Sastre, Mercedes, 1999. "The influence of demographic and household specific price indices on expenditure based inequality and welfare: a comparison of Spain and the United States," UC3M Working papers. Economics 6165, Universidad Carlos III de Madrid. Departamento de Economía.
    9. Stephen Jenkins, 2006. "Variance estimation for quantile group shares, cumulative shares, and Gini coefficient," United Kingdom Stata Users' Group Meetings 2006 07, Stata Users Group.
    10. Frank A. Cowell & Emmanuel Flachaire, 2014. "Statistical Methods for Distributional Analysis," Working Papers halshs-01115996, HAL.
    11. Wolfson, Michael, 1997. "Divergent Inequalities - Theory and Empirical Results (Revised Edition)," Analytical Studies Branch Research Paper Series 1997066e, Statistics Canada, Analytical Studies Branch.
    12. Wolfson, Michael, 1997. "Mesures d'inegalite divergentes : theorie et resultats empiriques (edition revisee)," Direction des études analytiques : documents de recherche 1997066f, Statistics Canada, Direction des études analytiques.
    13. Klavus, Jan, 2001. "Statistical inference of progressivity dominance: an application to health care financing distributions," Journal of Health Economics, Elsevier, vol. 20(3), pages 363-377, May.
    14. Brzezinski, Michal, 2013. "Asymptotic and bootstrap inference for top income shares," Economics Letters, Elsevier, vol. 120(1), pages 10-13.
    15. R.F. Elliott & I. Theodossiou, 1992. "The Inequality of Unemployment Experience in a Local Labour Market," Urban Studies, Urban Studies Journal Limited, vol. 29(5), pages 783-797, June.
    16. Vani K. Borooah, 2002. "A Duration‐sensitive Measure of the Unemployment Rate: Theory and Application," LABOUR, CEIS, vol. 16(3), pages 453-468, September.
    17. Matilde Mas Ivars & Francisco José Goerlich Gisbert, 1999. "- Desigualdad Y Convergencia," Working Papers. Serie EC 1999-07, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    18. Juan Ramón García, "undated". "La desigualdad salarial en España. Efectos de un diseño muestral complejo," Working Papers 2003-26, FEDEA.

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