IDEAS home Printed from https://ideas.repec.org/p/arx/papers/2505.21213.html
   My bibliography  Save this paper

Nonparametric "rich covariates" without saturation

Author

Listed:
  • Ludgero Glorias
  • Federico Martellosio
  • J. M. C. Santos Silva

Abstract

We consider two nonparametric approaches to ensure that linear instrumental variables estimators satisfy the rich-covariates condition emphasized by Blandhol et al. (2025), even when the instrument is not unconditionally randomly assigned and the model is not saturated. Both approaches start with a nonparametric estimate of the expectation of the instrument conditional on the covariates, and ensure that the rich-covariates condition is satisfied either by using as the instrument the difference between the original instrument and its estimated conditional expectation, or by adding the estimated conditional expectation to the set of regressors. We derive asymptotic properties when the first step uses kernel regression, and assess finite-sample performance in simulations where we also use neural networks in the first step. Finally, we present an empirical illustration that highlights some significant advantages of the proposed methods.

Suggested Citation

  • Ludgero Glorias & Federico Martellosio & J. M. C. Santos Silva, 2025. "Nonparametric "rich covariates" without saturation," Papers 2505.21213, arXiv.org, revised Jul 2025.
  • Handle: RePEc:arx:papers:2505.21213
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/2505.21213
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Magne Mogstad & Alexander Torgovitsky & Christopher R. Walters, 2021. "The Causal Interpretation of Two-Stage Least Squares with Multiple Instrumental Variables," American Economic Review, American Economic Association, vol. 111(11), pages 3663-3698, November.
    2. Joshua D. Angrist & Jörn-Steffen Pischke, 2009. "Mostly Harmless Econometrics: An Empiricist's Companion," Economics Books, Princeton University Press, edition 1, number 8769.
    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. Mogstad, Magne & Torgovitsky, Alexander & Walters, Christopher R., 2024. "Policy evaluation with multiple instrumental variables," Journal of Econometrics, Elsevier, vol. 243(1).
    2. Rajashri Chakrabarti & Vyacheslav Fos & Andres Liberman & Constantine Yannelis & Tarun Ramadorai, 2023. "Tuition, Debt, and Human Capital," The Review of Financial Studies, Society for Financial Studies, vol. 36(4), pages 1667-1702.
    3. Luis Antonio Fantozzi Alvarez & Rodrigo Toneto, 2024. "The interpretation of 2SLS with a continuous instrument: a weighted LATE representation," Working Papers, Department of Economics 2024_11, University of São Paulo (FEA-USP).
    4. Mogstad, Magne & Torgovitsky, Alexander, 2024. "Instrumental variables with unobserved heterogeneity in treatment effects," Handbook of Labor Economics,, Elsevier.
    5. Alvarez, Luis A.F. & Toneto, Rodrigo, 2024. "The interpretation of 2SLS with a continuous instrument: A weighted LATE representation," Economics Letters, Elsevier, vol. 237(C).
    6. Denni Tommasi & Lina Zhang, 2024. "Identifying program benefits when participation is misreported," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 39(6), pages 1123-1148, September.
    7. Gabriele Ruiu & Giovanna Gonano, 2020. "Religious Barriers to the Diffusion of Same-sex Civil Unions in Italy," Population Research and Policy Review, Springer;Southern Demographic Association (SDA), vol. 39(6), pages 1185-1203, December.
    8. Wright, Austin L. & Sonin, Konstantin & Driscoll, Jesse & Wilson, Jarnickae, 2020. "Poverty and economic dislocation reduce compliance with COVID-19 shelter-in-place protocols," Journal of Economic Behavior & Organization, Elsevier, vol. 180(C), pages 544-554.
    9. Guido de Blasio & Daniela Vuri, 2019. "Effects of the Joint Custody Law in Italy," Journal of Empirical Legal Studies, John Wiley & Sons, vol. 16(3), pages 479-514, September.
    10. Graves Jennifer & McMullen Steven & Rouse Kathryn, 2018. "Teacher Turnover, Composition and Qualifications in the Year-Round School Setting," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 18(3), pages 1-27, July.
    11. Alston Lee J. & Mueller Bernardo, 2018. "Priests, Conflicts and Property Rights: the Impacts on Tenancy and Land Use in Brazil," Man and the Economy, De Gruyter, vol. 5(1), pages 1-26, June.
    12. S Anukriti & Catalina Herrera‐Almanza & Praveen K. Pathak & Mahesh Karra, 2020. "Curse of the Mummy‐ji: The Influence of Mothers‐in‐Law on Women in India†," American Journal of Agricultural Economics, John Wiley & Sons, vol. 102(5), pages 1328-1351, October.
    13. Ellison, Richard B. & Ellison, Adrian B. & Greaves, Stephen P. & Sampaio, Breno, 2017. "Electronic ticketing systems as a mechanism for travel behaviour change? Evidence from Sydney’s Opal card," Transportation Research Part A: Policy and Practice, Elsevier, vol. 99(C), pages 80-93.
    14. Cruzatti C., John & Bjørnskov, Christian & Sáenz de Viteri, Andrea & Cruzatti, Christian, 2024. "Geography, development, and power: Parliament leaders and local clientelism," World Development, Elsevier, vol. 182(C).
    15. Yusuke Matsuki, 2016. "A Distribution-Free Test of Monotonicity with an Application to Auctions," Working Papers e110, Tokyo Center for Economic Research.
    16. Peppel-Srebrny, Jemima, 2021. "Not all government budget deficits are created equal: Evidence from advanced economies' sovereign bond markets," Journal of International Money and Finance, Elsevier, vol. 118(C).
    17. Eichengreen, Barry & Aksoy, Cevat Giray & Saka, Orkun, 2021. "Revenge of the experts: Will COVID-19 renew or diminish public trust in science?," Journal of Public Economics, Elsevier, vol. 193(C).
    18. Shvartsman, Elena & Beckmann, Michael, 2015. "Stressed by your job: What is the role of personnel policy?," Working papers 2015/15, Faculty of Business and Economics - University of Basel.
    19. MacDonald, Peter, 2013. "Labour substitution and the scope for military outsourcing," MPRA Paper 46688, University Library of Munich, Germany.
    20. Matteo Migheli, 2021. "Green purchasing: the effect of parenthood and gender," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 23(7), pages 10576-10600, July.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:arx:papers:2505.21213. 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: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    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.