IDEAS home Printed from https://ideas.repec.org/a/wly/soecon/v65y1999i3p557-570.html
   My bibliography  Save this article

Statistical Inferences for Testing Marginal Rank and (Generalized) Lorenz Dominances

Author

Listed:
  • Buhong Zheng

Abstract

This paper provides distribution‐free inferences for testing marginal rank dominance and Lorenz, and generalized Lorenz dominances. Marginal dominances refer to ordinary dominance relationships holding between an income distribution and its dependent after‐event distribution. Using the elegant Bahadur representation, I establish the asymptotic normal distributions of sample marginal changes and derive the variance–covariance structures. I also show that the inference procedures can be modified and applied to more general cases where samples are (partially) dependent. The approaches are illustrated by re‐evaluating the marginal impacts of working wives on the U.S. family income distribution using 1990 census data.

Suggested Citation

  • Buhong Zheng, 1999. "Statistical Inferences for Testing Marginal Rank and (Generalized) Lorenz Dominances," Southern Economic Journal, John Wiley & Sons, vol. 65(3), pages 557-570, January.
    • Handle: RePEc:wly:soecon:v:65:y:1999:i:3:p:557-570
    DOI: 10.1002/j.2325-8012.1999.tb00176.x
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/j.2325-8012.1999.tb00176.x
    Download Restriction: no
    File URL: https://libkey.io/10.1002/j.2325-8012.1999.tb00176.x?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Russell Davidson & Jean-Yves Duclos, 1997. "Statistical Inference for the Measurement of the Incidence of Taxes and Transfers," Econometrica, Econometric Society, vol. 65(6), pages 1453-1466, November.
    2. Jacob A. Mincer, 1974. "Introduction to "Schooling, Experience, and Earnings"," NBER Chapters, in: Schooling, Experience, and Earnings, pages 1-4, National Bureau of Economic Research, Inc.
    3. John A. Bishop & Jong-Rong Chiou andJohn P. Formby, "undated". "Working Wives and Earnings Inequality," Working Papers 9726, East Carolina University, Department of Economics.
    4. W. Sendler, 1979. "On statistical inference in concentration measurement," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 26(1), pages 109-122, December.
    5. Jacob A. Mincer, 1974. "Schooling, Experience, and Earnings," NBER Books, National Bureau of Economic Research, Inc, number minc74-1, May.
    6. Bishop, John A & Chakraborti, S & Thistle, Paul D, 1989. "Asymptotically Distribution-Free Statistical Inference for Generalized Lorenz Curves," The Review of Economics and Statistics, MIT Press, vol. 71(4), pages 725-727, November.
    7. Sheldon Danziger, 1980. "Do Working Wives Increase Family Income Inequality?," Journal of Human Resources, University of Wisconsin Press, vol. 15(3), pages 444-451.
    8. Shorrocks, Anthony F, 1983. "Ranking Income Distributions," Economica, London School of Economics and Political Science, vol. 50(197), pages 3-17, February.
    9. Jacob A. Mincer, 1974. "Schooling and Earnings," NBER Chapters, in: Schooling, Experience, and Earnings, pages 41-63, National Bureau of Economic Research, Inc.
    10. Maria Cancian & Deborah Reed, 1998. "Assessing The Effects Of Wives' Earnings On Family Income Inequality," The Review of Economics and Statistics, MIT Press, vol. 80(1), pages 73-79, February.
    11. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
    12. Rubin Saposnik, 1981. "Rank-dominance in income distributions," Public Choice, Springer, vol. 36(1), pages 147-151, January.
    13. Bishop, John A & Chow, K Victor & Formby, John P, 1994. "Testing for Marginal Changes in Income Distributions with Lorenz and Concentration Curves," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 35(2), pages 479-488, May.
    14. Charles M. Beach & Russell Davidson, 1983. "Distribution-Free Statistical Inference with Lorenz Curves and Income Shares," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 50(4), pages 723-735.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Russell Davidson & Jean-Yves Duclos, 2000. "Statistical Inference for Stochastic Dominance and for the Measurement of Poverty and Inequality," Econometrica, Econometric Society, vol. 68(6), pages 1435-1464, November.
    2. Gravel, Nicolas & Moyes, Patrick, 2012. "Ethically robust comparisons of bidimensional distributions with an ordinal attribute," Journal of Economic Theory, Elsevier, vol. 147(4), pages 1384-1426.
    3. Rassou R., 1993. "Statistical measurement of gender wage differentials," ILO Working Papers 992920693402676, International Labour Organization.
    4. Francesco Andreoli, 2018. "Robust Inference for Inverse Stochastic Dominance," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 36(1), pages 146-159, January.
    5. Stephen Donald & David Green & Harry Paarsch, "undated". "Differences in Earnings and Wage Distributions between Canada and the United States: An Application of a Semi-Parametric Estimator of Distribution Functions with Covariates," Working Papers _003, University of California at Berkeley, Econometrics Laboratory Software Archive.
    6. Theodore Koutmeridis, 2013. "The Market for "Rough Diamonds": Information, Finance and Wage Inequality," CDMA Working Paper Series 201307, Centre for Dynamic Macroeconomic Analysis, revised 14 Oct 2013.
    7. David Lander & David Gunawan & William Griffiths & Duangkamon Chotikapanich, 2020. "Bayesian assessment of Lorenz and stochastic dominance," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 53(2), pages 767-799, May.
    8. Stephen P. Jenkins & John Micklewright, 2007. "New Directions in the Analysis of Inequality and Poverty," Discussion Papers of DIW Berlin 700, DIW Berlin, German Institute for Economic Research.
    9. David Lander & David Gunawan & William E. Griffiths & Duangkamon Chotikapanich, 2016. "Bayesian Assessment of Lorenz and Stochastic Dominance Using a Mixture of Gamma Densities," Department of Economics - Working Papers Series 2023, The University of Melbourne.
    10. Enrico Bolzani & Ramses H. Abul Naga, 2002. "La Distribution des Salaires en Suisse: Quelques Observations sur la Récession des Années 90," Swiss Journal of Economics and Statistics (SJES), Swiss Society of Economics and Statistics (SSES), vol. 138(II), pages 115-136, June.
    11. Sangeeta Arora & Kanchan Jain, 2006. "Testing for Generalized Lorenz Dominance," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 15(1), pages 75-88, May.
    12. Sangeeta Arora & Kanchan Jain, 2006. "Testing for Generalized Lorenz Dominance," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 15(1), pages 75-88, May.
    13. John Pencavel, 2007. "Earnings Inequality, Labour Supply And Schooling In Husband–Wife Families," Bulletin of Economic Research, Wiley Blackwell, vol. 59(2), pages 83-124, April.
    14. Liyanaarachchi, Tilak S. & Naranpanawa, Athula & Bandara, Jayatilleke S., 2016. "Impact of trade liberalisation on labour market and poverty in Sri Lanka. An integrated macro-micro modelling approach," Economic Modelling, Elsevier, vol. 59(C), pages 102-115.
    15. Flávio Cunha & James Heckman, 2016. "Decomposing Trends in Inequality in Earnings into Forecastable and Uncertain Components," Journal of Labor Economics, University of Chicago Press, vol. 34(S2), pages 31-65.
    16. Steven Pressman, 2006. "The Decline of the Middle Class: An International Perspective," LIS Working papers 280, LIS Cross-National Data Center in Luxembourg.
    17. M. Dolores Collado & Alfonso Alba Ramírez, 1999. "- Do Wives Earnings Contribute To Reduce Income Inequality?: Evidence From Spain," Working Papers. Serie AD 1999-11, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    18. Shlomo Yitzhaki, 2003. "Gini’s Mean difference: a superior measure of variability for non-normal distributions," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(2), pages 285-316.
    19. Juan Ramón García, "undated". "La desigualdad salarial en España. Efectos de un diseño muestral complejo," Working Papers 2003-26, FEDEA.
    20. Deaton, Angus & Paxson, Christina, 1994. "Intertemporal Choice and Inequality," Journal of Political Economy, University of Chicago Press, vol. 102(3), pages 437-467, June.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wly:soecon:v:65:y:1999:i:3:p:557-570. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: https://doi.org/10.1002/(ISSN)2325-8012 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.