IDEAS home Printed from https://ideas.repec.org/p/azt/cemmap/06-03.html
   My bibliography  Save this paper

Nonparametric identification with discrete endogenous variables

Author

Listed:
  • Andrew Chesher

Abstract

This paper provides weak conditions under which there is nonparametric interval identification of local features of a structural function which depends on a discrete endogenous variable and is nonseparable in a latent variate. The function may deliver values of a discrete or continuous outcome and instruments may be discrete valued. Application of the analog principle leads to quantile regression based interval estimators of values and partial differences of structural functions. The results are used to investigate the nonparametric identifying power of the quarter of birth instruments used by Angrist and Krueger (1991) in their study of the returns to schooling.

Suggested Citation

  • Andrew Chesher, 2003. "Nonparametric identification with discrete endogenous variables," CeMMAP working papers 06/03, Institute for Fiscal Studies.
    • Handle: RePEc:azt:cemmap:06/03
    DOI: 10.1920/wp.cem.2003.0603
    as

    Download full text from publisher

    File URL: https://www.cemmap.ac.uk/wp-content/uploads/2020/08/CWP0603.pdf
    Download Restriction: no
    File URL: https://libkey.io/10.1920/wp.cem.2003.0603?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
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Lee, Sokbae, 2003. "Efficient Semiparametric Estimation Of A Partially Linear Quantile Regression Model," Econometric Theory, Cambridge University Press, vol. 19(1), pages 1-31, February.
    2. Andrew Chesher, 2003. "Identification in Nonseparable Models," Econometrica, Econometric Society, vol. 71(5), pages 1405-1441, September.
    3. Koenker, Roger W & Bassett, Gilbert, Jr, 1978. "Regression Quantiles," Econometrica, Econometric Society, vol. 46(1), pages 33-50, January.
    4. Chesher, Andrew, 2007. "Instrumental values," Journal of Econometrics, Elsevier, vol. 139(1), pages 15-34, July.
    5. Chiswick, Barry R & Mincer, Jacob, 1972. "Time-Series Changes in Personal Income Inequality in the United States from 1939, with Projections to 1985," Journal of Political Economy, University of Chicago Press, vol. 80(3), pages 34-66, Part II, .
    6. Card, David, 2001. "Estimating the Return to Schooling: Progress on Some Persistent Econometric Problems," Econometrica, Econometric Society, vol. 69(5), pages 1127-1160, September.
    7. Jacob A. Mincer, 1974. "Schooling and Earnings," NBER Chapters, in: Schooling, Experience, and Earnings, pages 41-63, National Bureau of Economic Research, Inc.
    8. Jacob A. Mincer, 1974. "Schooling, Experience, and Earnings," NBER Books, National Bureau of Economic Research, Inc, number minc74-1.
    9. Roger W. Koenker & Vasco D'Orey, 1987. "Computing Regression Quantiles," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 36(3), pages 383-393, November.
    10. Barry R. Chiswick, 1974. "Income Inequality: Regional Analyses within a Human Capital Framework," NBER Books, National Bureau of Economic Research, Inc, number chis74-1.
    11. Khan, Shakeeb, 2001. "Two-stage rank estimation of quantile index models," Journal of Econometrics, Elsevier, vol. 100(2), pages 319-355, February.
    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. Andrew Chesher, 2005. "Nonparametric Identification under Discrete Variation," Econometrica, Econometric Society, vol. 73(5), pages 1525-1550, September.
    2. Andrew Chesher, 2005. "Identification with excess heterogeneity," CeMMAP working papers CWP19/05, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
    3. Chesher, Andrew, 2007. "Instrumental values," Journal of Econometrics, Elsevier, vol. 139(1), pages 15-34, July.
    4. Cunha, Flavio & Heckman, James J., 2007. "Identifying and Estimating the Distributions of Ex Post and Ex Ante Returns to Schooling," Labour Economics, Elsevier, vol. 14(6), pages 870-893, December.
    5. Patrick M. Emerson & André Portela Souza, 2011. "Is Child Labor Harmful? The Impact of Working Earlier in Life on Adult Earnings," Economic Development and Cultural Change, University of Chicago Press, vol. 59(2), pages 345-385.
    6. Maria Manuel Campos & Hugo Reis, 2018. "Returns to schooling in the Portuguese economy: a reassessment," Public Sector Economics, Institute of Public Finance, vol. 42(2), pages 215-242.
    7. Balestra, Simone & Backes-Gellner, Uschi, 2017. "Heterogeneous returns to education over the wage distribution: Who profits the most?," Labour Economics, Elsevier, vol. 44(C), pages 89-105.
    8. Barry R. Chiswick, 2006. "Jacob Mincer, Experience and the Distribution of Earnings," Springer Books, in: Shoshana Grossbard (ed.), Jacob Mincer A Pioneer of Modern Labor Economics, chapter 10, pages 109-126, Springer.
    9. Appleton, Simon & Song, Lina & Xia, Qingjie, 2014. "Understanding Urban Wage Inequality in China 1988–2008: Evidence from Quantile Analysis," World Development, Elsevier, vol. 62(C), pages 1-13.
    10. Lee, Sokbae, 2007. "Endogeneity in quantile regression models: A control function approach," Journal of Econometrics, Elsevier, vol. 141(2), pages 1131-1158, December.
    11. Vachaspati Shukla & Udaya S. Mishra, 0. "Expansion in Education and Its Impact on Income Inequality: Cross-sectional Evidence from India," The Indian Journal of Labour Economics, Springer;The Indian Society of Labour Economics (ISLE), vol. 0, pages 1-32.
    12. Arbex, Marcelo & Galvao, Antonio F. & Gomes, Fábio Augusto Reis, 2010. "Heterogeneity in the Returns to Education and Informal Activities," Insper Working Papers wpe_216, Insper Working Paper, Insper Instituto de Ensino e Pesquisa.
    13. Vachaspati Shukla & Udaya S. Mishra, 2020. "Expansion in Education and Its Impact on Income Inequality: Cross-sectional Evidence from India," The Indian Journal of Labour Economics, Springer;The Indian Society of Labour Economics (ISLE), vol. 63(2), pages 331-362, June.
    14. Ma, Lingjie & Koenker, Roger, 2006. "Quantile regression methods for recursive structural equation models," Journal of Econometrics, Elsevier, vol. 134(2), pages 471-506, October.
    15. Shweta Bahl & Ajay Sharma, 2021. "Education–Occupation Mismatch and Dispersion in Returns to Education: Evidence from India," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 153(1), pages 251-298, January.
    16. Emanuela di Gropello, 2006. "Meeting the Challenges of Secondary Education in Latin America and East Asia : Improving Efficiency and Resource Mobilization," World Bank Publications - Books, The World Bank Group, number 7173.
    17. Martin Nordin & Dan-Olof Rooth, 2014. "Increasing Returns to Schooling by Ability? A Comparison between the USA and Sweden," Manchester School, University of Manchester, vol. 82, pages 1-20, December.
    18. Heckman, James J. & Urzúa, Sergio, 2010. "Comparing IV with structural models: What simple IV can and cannot identify," Journal of Econometrics, Elsevier, vol. 156(1), pages 27-37, May.
    19. Lisa Grazzini, 2016. "The Importance of the Quality of Education: Some Determinants and its Effects on Earning Returns and Economic Growth," ECONOMIA PUBBLICA, FrancoAngeli Editore, vol. 2016(2), pages 43-82.
    20. Flabbi, Luca & Paternostro, Stefano & Tiongson, Erwin R., 2008. "Returns to education in the economic transition: A systematic assessment using comparable data," Economics of Education Review, Elsevier, vol. 27(6), pages 724-740, December.

    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:azt:cemmap:06/03. 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: Dermot Watson (email available below). General contact details of provider: https://edirc.repec.org/data/ifsssuk.html .

    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.