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Efficient Estimation of Semiparametric Equivalence Scales with Evidence from South Africa

Author

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  • Yatchew, Adonis
  • Sun, Yiguo
  • Deri, Catherine

Abstract

We propose semiparametric procedures for estimation and testing of base-independent equivalence scales. The partial linear index specification permits simultaneous estimation across multiple household types and multiple goods and also the incorporation of continuous and discrete household attributes. Furthermore, asymptotic properties of estimated equivalence scales and tests of base independence are readily obtained. The efficiency gains from the proposed models and estimators are particularly helpful for developing country data where there is often much greater variation in household size and composition. We apply the techniques to South African data and find the results to be broadly consistent with base independence.

Suggested Citation

  • Yatchew, Adonis & Sun, Yiguo & Deri, Catherine, 2003. "Efficient Estimation of Semiparametric Equivalence Scales with Evidence from South Africa," Journal of Business & Economic Statistics, American Statistical Association, vol. 21(2), pages 247-257, April.
    • Handle: RePEc:bes:jnlbes:v:21:y:2003:i:2:p:247-57
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    Citations

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    Cited by:

    1. Steven F. Koch & Gauthier Tshiswaka-Kashalala, 2008. "Tobacco Substitution and the Poor," Working Papers 200832, University of Pretoria, Department of Economics.
    2. Steven F. Koch, 2023. "Basic Needs (in)Security and Subjective Equivalence Scales," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 169(3), pages 723-757, October.
    3. Ye, Yuxiang & Koch, Steven F., 2021. "Measuring energy poverty in South Africa based on household required energy consumption," Energy Economics, Elsevier, vol. 103(C).
    4. Muhammad Shafiullah & Zhilun Jiao & Muhammad Shahbaz & Kangyin Dong, 2023. "Examining energy poverty in Chinese households: An Engel curve approach," Australian Economic Papers, Wiley Blackwell, vol. 62(1), pages 149-184, March.
    5. Yiguo Sun & Thanasis Stengos & Dianqin Wang, 2006. "Estimates of semiparametric equivalence scales," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 21(5), pages 629-639.
    6. Kabeya Clement Mulamba, 2022. "Relationship between households’ share of food expenditure and income across South African districts: a multilevel regression analysis," Palgrave Communications, Palgrave Macmillan, vol. 9(1), pages 1-11, December.
    7. Steven F. Koch, 2022. "Basic Needs (In)Security and Subjective Equivalence Scales," Working Papers 202259, University of Pretoria, Department of Economics.
    8. Dimitri Dimitropoulos and Adonis Yatchew, 2017. "Is Productivity Growth in Electricity Distribution Negative? An Empirical Analysis Using Ontario Data," The Energy Journal, International Association for Energy Economics, vol. 0(Number 2).
    9. Steven F. Koch & Adel Bosch, 2009. "Inflation and the Household: Towards a Measurement of the Welfare Costs of Inflation," Working Papers 200917, University of Pretoria, Department of Economics.
    10. Hall, Peter & Yatchew, Adonis, 2005. "Unified approach to testing functional hypotheses in semiparametric contexts," Journal of Econometrics, Elsevier, vol. 127(2), pages 225-252, August.
    11. Timothy K.M. Beatty & Erling Røed Larsen, 2005. "Using Engel curves to estimate bias in the Canadian CPI as a cost of living index," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 38(2), pages 482-499, May.
    12. Aline Bütikofer, 2012. "Semiparametric Base-Independent Equivalence Scales and the Cost of Children in Switzerland," Swiss Journal of Economics and Statistics (SJES), Swiss Society of Economics and Statistics (SSES), vol. 148(I), pages 1-35, March.
    13. repec:ebl:ecbull:v:4:y:2007:i:21:p:1-11 is not listed on IDEAS
    14. Steven F. Koch, 2017. "Does the Equivalence Scale Matter? Equivalence and Out-of-Pocket Payments," Working Papers 132, Economic Research Southern Africa.
    15. Steven F. Koch, 2021. "Equivalence Scales with Endogeneity and Base Independence," Working Papers 202185, University of Pretoria, Department of Economics.
    16. Seebens, Holger, 2009. "Child Welfare and Old-Age Security in Female Headed Households in Tanzania," IZA Discussion Papers 3929, Institute of Labor Economics (IZA).
    17. Qi Li & Jeffrey Scott Racine, 2006. "Nonparametric Econometrics: Theory and Practice," Economics Books, Princeton University Press, edition 1, volume 1, number 8355.
    18. Timothy Beatty, 2009. "Semiparametric quantile Engel curves and expenditure elasticities: a penalized quantile regression spline approach," Applied Economics, Taylor & Francis Journals, vol. 41(12), pages 1533-1542.
    19. Yuxiang Ye & Steven F. Koch & Jiangfeng Zhang, 2020. "Modelling Required Energy Consumption with Equivalence Scales," Working Papers 202014, University of Pretoria, Department of Economics.
    20. Brillanti, Carla, 2022. "Cambios en las escalas de equivalencia y niveles de bienestar para el período (1996/97-2017/18) en Argentina," Nülan. Deposited Documents 3680, Universidad Nacional de Mar del Plata, Facultad de Ciencias Económicas y Sociales, Centro de Documentación.
    21. Thanasis Stengos & Dianqin Wang, 2007. "Testing for Shape Invariance of Semiparametric Equivalence Scales," Economics Bulletin, AccessEcon, vol. 4(21), pages 1-11.
    22. Syed Abul Hasan, 2016. "Engel curves and equivalence scales for Bangladesh," Journal of the Asia Pacific Economy, Taylor & Francis Journals, vol. 21(2), pages 301-315, April.
    23. Alex Sienaert, 2008. "Some Child Cost Estimates for South Africa," Economics Series Working Papers WPS/2008-15, University of Oxford, Department of Economics.
    24. Steven F. Koch, 2022. "Equivalence scales in a developing country with extensive inequality," South African Journal of Economics, Economic Society of South Africa, vol. 90(4), pages 486-512, December.
    25. Glenn Jones & Elizabeth Savage & Kees Van Gool, 2008. "The Distribution of Household Health Expenditures in Australia," The Economic Record, The Economic Society of Australia, vol. 84(s1), pages 99-114, September.

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