IDEAS home Printed from https://ideas.repec.org/a/eee/csdana/v54y2010i11p2487-2497.html
   My bibliography  Save this article

Simple and effective boundary correction for kernel densities and regression with an application to the world income and Engel curve estimation

Author

Listed:
  • Dai, J.
  • Sperlich, S.

Abstract

In both nonparametric density estimation and regression, the so-called boundary effects, i.e. the bias and variance increase due to one sided data information, can be quite serious. For estimation performed on transformed variables this problem can easily get boosted and may distort substantially the final estimates, and consequently the conclusions. After a brief review of some existing methods a new, straightforward and very simple boundary correction is proposed, applying local bandwidth variation at the boundaries. The statistical behavior is discussed and the performance for density and regression estimation is studied for small and moderate sample sizes. In a simulation study this method is shown to perform very well. Furthermore, it appears to be excellent for estimating the world income distribution, and Engel curves in economics.

Suggested Citation

  • Dai, J. & Sperlich, S., 2010. "Simple and effective boundary correction for kernel densities and regression with an application to the world income and Engel curve estimation," Computational Statistics & Data Analysis, Elsevier, vol. 54(11), pages 2487-2497, November.
    • Handle: RePEc:eee:csdana:v:54:y:2010:i:11:p:2487-2497
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167-9473(10)00151-9
    Download Restriction: Full text for ScienceDirect subscribers only.
    ---><---

    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. Hajo Holzmann & Sebastian Vollmer & Julian Weisbrod, 2007. "Perspectives on the World Income Distribution - Beyond Twin Peaks Towards Welfare Conclusions," Ibero America Institute for Econ. Research (IAI) Discussion Papers 158, Ibero-America Institute for Economic Research.
    2. Daron Acemoglu & Jaume Ventura, 2002. "The World Income Distribution," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 117(2), pages 659-694.
    3. Deaton,Angus & Muellbauer,John, 1980. "Economics and Consumer Behavior," Cambridge Books, Cambridge University Press, number 9780521296762, November.
    4. Xavier Sala-i-Martin, 2006. "The World Distribution of Income: Falling Poverty and … Convergence, Period," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 121(2), pages 351-397.
    5. Joachim Engel & Alois Kneip, 1996. "Recent approaches to estimating Engel curves," Journal of Economics, Springer, vol. 63(2), pages 187-212, June.
    6. Hall, Peter, 1983. "On near neighbour estimates of a multivariate density," Journal of Multivariate Analysis, Elsevier, vol. 13(1), pages 24-39, March.
    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. Afonso, António & Arghyrou, Michael G. & Gadea, María Dolores & Kontonikas, Alexandros, 2018. "“Whatever it takes” to resolve the European sovereign debt crisis? Bond pricing regime switches and monetary policy effects," Journal of International Money and Finance, Elsevier, vol. 86(C), pages 1-30.
    2. Bernoth, Kerstin & Erdogan, Burcu, 2012. "Sovereign bond yield spreads: A time-varying coefficient approach," Journal of International Money and Finance, Elsevier, vol. 31(3), pages 639-656.
    3. Huber, Martin & Mellace, Giovanni, 2012. "Relaxing monotonicity in the identification of local average treatment effects," Economics Working Paper Series 1212, University of St. Gallen, School of Economics and Political Science.
    4. Michael G. Arghyrou & Maria Dolores Gadea, 2019. "Private bank deposits and macro/fiscal risk in the euro-area," CESifo Working Paper Series 7532, CESifo.
    5. Malec, Peter & Schienle, Melanie, 2014. "Nonparametric kernel density estimation near the boundary," Computational Statistics & Data Analysis, Elsevier, vol. 72(C), pages 57-76.
    6. Jesús Fajardo & Pedro Harmath, 2021. "Boundary estimation with the fuzzy set density estimator," METRON, Springer;Sapienza Università di Roma, vol. 79(3), pages 285-302, December.
    7. Arora, Siddharth & Taylor, James W., 2016. "Forecasting electricity smart meter data using conditional kernel density estimation," Omega, Elsevier, vol. 59(PA), pages 47-59.
    8. G. Arghyrou, Michael & Gadea, Maria-Dolores & Kontonikas, Alexandros, 2024. "Private bank deposits and macro/fiscal risk in the euro-area," Journal of International Money and Finance, Elsevier, vol. 140(C).
    9. Charles Braymen & Eddery Lam, 2014. "Income Distribution and the Composition of Imports," The International Trade Journal, Taylor & Francis Journals, vol. 28(2), pages 121-139, June.
    10. Gery Geenens, 2021. "Mellin–Meijer kernel density estimation on $${{\mathbb {R}}}^+$$ R +," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 73(5), pages 953-977, October.
    11. Rodrigues, G.S. & Nott, David J. & Sisson, S.A., 2016. "Functional regression approximate Bayesian computation for Gaussian process density estimation," Computational Statistics & Data Analysis, Elsevier, vol. 103(C), pages 229-241.
    12. Dimitris Politis, 2013. "Model-free model-fitting and predictive distributions," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 22(2), pages 183-221, June.
    13. Gery Geenens, 2014. "Probit Transformation for Kernel Density Estimation on the Unit Interval," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 109(505), pages 346-358, March.
    14. Machado, José A.F. & Santos Silva, J.M.C. & Wei, Kehai, 2016. "Quantiles, corners, and the extensive margin of trade," European Economic Review, Elsevier, vol. 89(C), pages 73-84.

    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. Lindner, Ines & Strulik, Holger, 2014. "The great divergence: A network approach," University of Göttingen Working Papers in Economics 193, University of Goettingen, Department of Economics.
    2. Syed Abul Hasan, 2016. "Engel curves and equivalence scales for Bangladesh," Journal of the Asia Pacific Economy, Taylor & Francis Journals, vol. 21(2), pages 301-315, April.
    3. Corinna Manig & Alessio Moneta, 2014. "More or better? Measuring quality versus quantity in food consumption," Journal of Bioeconomics, Springer, vol. 16(2), pages 155-178, July.
    4. Hasan, Syed Abul & Mozumder, Pallab, 2017. "Income and energy use in Bangladesh: A household level analysis," Energy Economics, Elsevier, vol. 65(C), pages 115-126.
    5. Karina Doorley & Luke Duggan & Theano Kakoulidou & Barra Roantree, 2024. "Equivalisation (once again)," Trinity Economics Papers tep0124, Trinity College Dublin, Department of Economics.
    6. Ines Lindner & Holger Strulik, 2020. "Innovation And Inequality In A Small World," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 61(2), pages 683-719, May.
    7. Kaus, Wolfhard, 2013. "Beyond Engel's law - A cross-country analysis," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 47(C), pages 118-134.
    8. Andreas Chai & Alessio Moneta, 2013. "Back to Engel? Some Evidence for the Hierarchy of Needs," Economic Complexity and Evolution, in: Andreas Pyka & Esben Sloth Andersen (ed.), Long Term Economic Development, edition 127, pages 33-59, Springer.
    9. Andreas Chai & Alessio Moneta, 2010. "Retrospectives: Engel Curves," Journal of Economic Perspectives, American Economic Association, vol. 24(1), pages 225-240, Winter.
    10. Nelson Manolo Chávez Munoz, Omaira Dayana Velázquez Mantilla, Mauricio Alejandro Mateus Tovar, 2011. "Cambios estructurales en la participación laboral en Colombia desde 1984 - 2008: un análisis econométrico del mercado laboral urbano para la generación de políticas de empleo," Revista CIFE, Universidad Santo Tomás, June.
    11. Teklewold, Hailemariam, 2011. "Farming or burning? shadow prices and farmer’s impatience on the allocation of multi-purpose resource in the mixed farming system of Ethiopia," 2011 International Congress, August 30-September 2, 2011, Zurich, Switzerland 116080, European Association of Agricultural Economists.
    12. J. K. Pappalardo, 2022. "Economics of Consumer Protection: Contributions and Challenges in Estimating Consumer Injury and Evaluating Consumer Protection Policy," Journal of Consumer Policy, Springer, vol. 45(2), pages 201-238, June.
    13. Rajeev K. Goel & Shoji Haruna, 2021. "Unmasking the demand for masks: Analytics of mandating coronavirus masks," Metroeconomica, Wiley Blackwell, vol. 72(3), pages 580-591, July.
    14. Angela Daley & Thesia I. Garner & Shelley Phipps & Eva Sierminska, 2020. "Differences across Place and Time in Household Expenditure Patterns: Implications for the Estimation of Equivalence Scales," Economic Working Papers 520, Bureau of Labor Statistics.
    15. Corsetti, Giancarlo & Martin, Philippe & Pesenti, Paolo, 2007. "Productivity, terms of trade and the `home market effect'," Journal of International Economics, Elsevier, vol. 73(1), pages 99-127, September.
    16. T.R.L. Fry & R.D. Brooks & Br. Comley & J. Zhang, 1993. "Economic Motivations for Limited Dependent and Qualitative Variable Models," The Economic Record, The Economic Society of Australia, vol. 69(2), pages 193-205, June.
    17. Lee, Jonq-Ying & Brown, Mark G. & Schwartz, Brooke, 1986. "The Demand For National Brand And Private Label Frozen Concentrated Orange Juice: A Switching Regression Analysis," Western Journal of Agricultural Economics, Western Agricultural Economics Association, vol. 11(1), pages 1-7, July.
    18. Marie-Estelle Binet, 2013. "The Linear Expenditure System and the Demand for Municipal Public Services: The Median Voter Specification Revisited," Urban Studies, Urban Studies Journal Limited, vol. 50(9), pages 1689-1703, July.
    19. Redding, Stephen J. & Weinstein, David E., 2016. "A unified approach to estimating demand and welfare," LSE Research Online Documents on Economics 67681, London School of Economics and Political Science, LSE Library.
    20. Richard Chisik & Nazanin Behzadan & Harun Onder & Apurva Sanghi, 2016. "Aid, Remittances, the Dutch Disease, Refugees, and Kenya," Working Papers 062, Toronto Metropolitan University, Department of Economics.

    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:eee:csdana:v:54:y:2010:i:11:p:2487-2497. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/csda .

    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.