IDEAS home Printed from https://ideas.repec.org/a/taf/gnstxx/v22y2010i6p737-754.html
   My bibliography  Save this article

Robust estimates in generalised varying-coefficient partially linear models

Author

Listed:
  • Tao Hu
  • Hengjian Cui

Abstract

In this article, we introduce a family of robust estimates for the parametric and nonparametric components under a generalised semiparametric varying coefficient partially linear regression model, where the data are modelled by yi|(xi, zi, ui) ∼ F (·, μi) with for some known distribution function F and link function H. A class of sieve robust estimation is proposed and the asymptotic properties of the proposed estimators are discussed. Under some mild conditions, the estimators are shown to be strongly consistent; the convergence rate of the estimator for the unknown nonparametric component is obtained and the estimator for the unknown parameter is shown to be asymptotically normally distributed. Four simulation studies are conducted to examine the small-sample properties of the proposed estimates and a real data set is used to illustrate our approach.

Suggested Citation

  • Tao Hu & Hengjian Cui, 2010. "Robust estimates in generalised varying-coefficient partially linear models," Journal of Nonparametric Statistics, Taylor & Francis Journals, vol. 22(6), pages 737-754.
    • Handle: RePEc:taf:gnstxx:v:22:y:2010:i:6:p:737-754
    DOI: 10.1080/10485250903428468
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/10485250903428468
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/10485250903428468?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Yatchew,Adonis, 2003. "Semiparametric Regression for the Applied Econometrician," Cambridge Books, Cambridge University Press, number 9780521812832, September.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Francesco Bravo, 2020. "Robust estimation and inference for general varying coefficient models with missing observations," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 29(4), pages 966-988, December.
    2. Lu Wang & Zhongzhe Ouyang & Xihong Lin, 2024. "Doubly Robust Estimation and Semiparametric Efficiency in Generalized Partially Linear Models with Missing Outcomes," Stats, MDPI, vol. 7(3), pages 1-20, August.
    3. Bravo, Francesco, 2015. "Semiparametric estimation with missing covariates," Journal of Multivariate Analysis, Elsevier, vol. 139(C), pages 329-346.

    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. Ichimura, Hidehiko & Todd, Petra E., 2007. "Implementing Nonparametric and Semiparametric Estimators," Handbook of Econometrics, in: J.J. Heckman & E.E. Leamer (ed.), Handbook of Econometrics, edition 1, volume 6, chapter 74, Elsevier.
    2. Almeida, Alexandre N. & Bravo-Ureta, Boris E., 2019. "Agricultural productivity, shadow wages and off-farm labor decisions in Nicaragua," Economic Systems, Elsevier, vol. 43(1), pages 99-110.
    3. SCHAFGANS, Marcia M.A. & ZINDE-WALSH, Victoria, 2007. "Robust Average Derivative Estimation," Cahiers de recherche 12-2007, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    4. Feng, Guohua & McLaren, Keith R. & Yang, Ou & Zhang, Xiaohui & Zhao, Xueyan, 2021. "The impact of environmental policy stringency on industrial productivity growth: A semi-parametric study of OECD countries," Energy Economics, Elsevier, vol. 100(C).
    5. 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.
    6. Zhang, Xiaobei & Wang, Xiaojun, 2021. "Measures of human capital and the mechanics of economic growth," China Economic Review, Elsevier, vol. 68(C).
    7. repec:ebl:ecbull:v:3:y:2005:i:11:p:1-10 is not listed on IDEAS
    8. Rahul Anand & Naresh Kumar & Mr. Volodymyr Tulin, 2016. "Understanding India’s Food Inflation: The Role of Demand and Supply Factors," IMF Working Papers 2016/002, International Monetary Fund.
    9. repec:asg:wpaper:1006 is not listed on IDEAS
    10. Vincenzo Verardi, 2013. "Semiparametric regression in Stata," United Kingdom Stata Users' Group Meetings 2013 14, Stata Users Group.
    11. Babii, Andrii, 2020. "Honest Confidence Sets In Nonparametric Iv Regression And Other Ill-Posed Models," Econometric Theory, Cambridge University Press, vol. 36(4), pages 658-706, August.
    12. Lee, Jungyoon & Robinson, Peter M., 2016. "Series estimation under cross-sectional dependence," Journal of Econometrics, Elsevier, vol. 190(1), pages 1-17.
    13. Kazianga, H., 2006. "Motives for household private transfers in Burkina Faso," Journal of Development Economics, Elsevier, vol. 79(1), pages 73-117, February.
    14. Jungyoon Lee & Peter Robinson, 2016. "Series estimation under cross-sectional dependence," LSE Research Online Documents on Economics 63380, London School of Economics and Political Science, LSE Library.
    15. Helena Meier, Tooraj Jamasb, and Luis Orea, 2013. "Necessity or Luxury Good? Household Energy Spending and Income in Britain 1991-2007," The Energy Journal, International Association for Energy Economics, vol. 0(Number 4).
    16. Subal C. Kumbhakar & Ørjan Mydland & Andrew Musau & Gudbrand Lien, 2020. "Disentangling Costs of Persistent and Transient Technical Inefficiency and Input Misallocation: The Case of Norwegian Electricity Distribution Firms," The Energy Journal, , vol. 41(3), pages 143-160, May.
    17. Duran, Esra Akdeniz & Härdle, Wolfgang Karl & Osipenko, Maria, 2011. "Difference based ridge and Liu type estimators in semiparametric regression models," SFB 649 Discussion Papers 2011-014, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    18. repec:dau:papers:123456789/1648 is not listed on IDEAS
    19. Ingvild Alm s, 2008. "International Income Inequality: Measuring PPP Bias by Estimating Engel Curves for Food," LIS Working papers 473, LIS Cross-National Data Center in Luxembourg.
    20. Emmanuel Flachaire, 2005. "The Role of Economic Space in Decision Making: A Comment," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00175901, HAL.
    21. Julian di Giovanni & Andrei A. Levchenko, 2012. "The Risk Content of Exports: A Portfolio View of International Trade," NBER International Seminar on Macroeconomics, University of Chicago Press, vol. 8(1), pages 97-151.
    22. Michael Lokshin, 2006. "Difference-based semiparametric estimation of partial linear regression models," Stata Journal, StataCorp LP, vol. 6(3), pages 377-383, September.
    23. Rodrigo García Arancibia, 2013. "Curvas de Engel de alimentos fuera del hogar según circunstancia de consumo. el caso de Argentina," Revista Cuadernos de Economia, Universidad Nacional de Colombia, FCE, CID, May.

    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:taf:gnstxx:v:22:y:2010:i:6:p:737-754. 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: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/GNST20 .

    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.