IDEAS home Printed from https://ideas.repec.org/p/arx/papers/2309.02089.html
   My bibliography  Save this paper

On the use of U-statistics for linear dyadic interaction models

Author

Listed:
  • G. M. Szini

Abstract

Even though dyadic regressions are widely used in empirical applications, the (asymptotic) properties of estimation methods only began to be studied recently in the literature. This paper aims to provide in a step-by-step manner how U-statistics tools can be applied to obtain the asymptotic properties of pairwise differences estimators for a two-way fixed effects model of dyadic interactions. More specifically, we first propose an estimator for the model that relies on pairwise differencing such that the fixed effects are differenced out. As a result, the summands of the influence function will not be independent anymore, showing dependence on the individual level and translating to the fact that the usual law of large numbers and central limit theorems do not straightforwardly apply. To overcome such obstacles, we show how to generalize tools of U-statistics for single-index variables to the double-indices context of dyadic datasets. A key result is that there can be different ways of defining the Hajek projection for a directed dyadic structure, which will lead to distinct, but equivalent, consistent estimators for the asymptotic variances. The results presented in this paper are easily extended to non-linear models.

Suggested Citation

  • G. M. Szini, 2023. "On the use of U-statistics for linear dyadic interaction models," Papers 2309.02089, arXiv.org.
    • Handle: RePEc:arx:papers:2309.02089
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/2309.02089
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. James E. Anderson & Eric van Wincoop, 2003. "Gravity with Gravitas: A Solution to the Border Puzzle," American Economic Review, American Economic Association, vol. 93(1), pages 170-192, March.
    2. Andreas Dzemski, 2019. "An Empirical Model of Dyadic Link Formation in a Network with Unobserved Heterogeneity," The Review of Economics and Statistics, MIT Press, vol. 101(5), pages 763-776, December.
    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. Weidner, Martin & Zylkin, Thomas, 2021. "Bias and consistency in three-way gravity models," Journal of International Economics, Elsevier, vol. 132(C).
    2. Chernozhukov, Victor & Fernández-Val, Iván & Weidner, Martin, 2024. "Network and panel quantile effects via distribution regression," Journal of Econometrics, Elsevier, vol. 240(2).
    3. David W. Hughes, 2021. "Estimating Nonlinear Network Data Models with Fixed Effects," Boston College Working Papers in Economics 1058, Boston College Department of Economics.
    4. Anthony Briant & Pierre-Philippe Combes & Miren Lafourcade, 2014. "Product Complexity, Quality of Institutions and the Protrade Effect of Immigrants," The World Economy, Wiley Blackwell, vol. 37(1), pages 63-85, January.
    5. Oh, Chang Hoon & Travis Selmier, W. & Lien, Donald, 2011. "International trade, foreign direct investment, and transaction costs in languages," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 40(6), pages 732-735.
    6. Edmond Noubissi & Boker Poumie & Hilaire Nkengfack, 2021. "Effect of environmental policies on exports from sub‐Saharan African countries," African Development Review, African Development Bank, vol. 33(4), pages 688-702, December.
    7. Beestermöller, Matthias, 2017. "Striking Evidence? Demand Persistence for Inter-City Buses from German Railway Strikes," Discussion Papers in Economics 31768, University of Munich, Department of Economics.
    8. Luis Marcelo Florensa & Laura M uez-Ramos & Inmaculada Mart󹑺-Zarzoso & Mar𨁌uisa Recalde, 2015. "Regional versus global production networks: where does Latin America stand?," Applied Economics, Taylor & Francis Journals, vol. 47(37), pages 3938-3956, August.
    9. Iván Fernández-Val & Martin Weidner, 2018. "Fixed Effects Estimation of Large-TPanel Data Models," Annual Review of Economics, Annual Reviews, vol. 10(1), pages 109-138, August.
    10. Marc Flandreau & Mathilde Maurel, 2005. "Monetary Union, Trade Integration, and Business Cycles in 19th Century Europe," Open Economies Review, Springer, vol. 16(2), pages 135-152, April.
    11. Hildegunn K. Nordås & Dorothée Rouzet, 2017. "The Impact of Services Trade Restrictiveness on Trade Flows," The World Economy, Wiley Blackwell, vol. 40(6), pages 1155-1183, June.
    12. Fetzer, James J. & Rivera, Sandra A., 2005. "Modeling Modifications in Rules of Origin: A Partial Equilibrium Approach," Conference papers 331372, Purdue University, Center for Global Trade Analysis, Global Trade Analysis Project.
    13. Kohn, David & Leibovici, Fernando & Szkup, Michal, 2020. "Financial frictions and export dynamics in large devaluations," Journal of International Economics, Elsevier, vol. 122(C).
    14. Antoine Bouët & Aziz Elbehri & Duc Bao Nguyen & Fousseini Traoré, 2022. "Measuring Agricultural Trade Integration in Southeast Asia," Journal of Economic Integration, Center for Economic Integration, Sejong University, vol. 37(2), pages 235-266.
    15. Thorvaldur Gylfason & Inmaculada Martínez-Zarzoso & Per Magnus Wijkman, 2015. "Free Trade Agreements, Institutions and the Exports of Eastern Partnership Countries," Journal of Common Market Studies, Wiley Blackwell, vol. 53(6), pages 1214-1229, November.
    16. David Law & Murat Genç & John Bryant, 2013. "Trade, Diaspora and Migration to New Zealand," The World Economy, Wiley Blackwell, vol. 36(5), pages 582-606, May.
    17. Ariu, Andrea & Breinlich, Holger & Corcos, Gregory & Mion, Giordano, 2019. "The interconnections between services and goods trade at the firm-level," Journal of International Economics, Elsevier, vol. 116(C), pages 173-188.
    18. Njike, Arnold, 2020. "Trade in value-added and the welfare gains of international fragmentation," MPRA Paper 100427, University Library of Munich, Germany.
    19. Markus Brueckner & Ngo Van Long & Joaquin Vespignani, 2020. "Non-Gravity Trade," ANU Working Papers in Economics and Econometrics 2020-673, Australian National University, College of Business and Economics, School of Economics.
    20. Alexander, D.W. & Merkert, R., 2021. "Applications of gravity models to evaluate and forecast US international air freight markets post-GFC," Transport Policy, Elsevier, vol. 104(C), pages 52-62.

    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:2309.02089. 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.