IDEAS home Printed from https://ideas.repec.org/a/taf/applec/v42y2010i30p3895-3902.html
   My bibliography  Save this article

Consistency of Heckman-type two-step estimators for the multivariate sample-selection model

Author

Listed:
  • Harald Tauchmann

Abstract

This analysis shows that multivariate generalizations to the classical Heckman (1976, 1979) two-step estimator that account for cross-equation correlation and use the inverse Mills ratio as correction term are consistent only if certain restrictions apply to the true error-covariance structure. An alternative class of generalizations to the classical Heckman two-step approach is derived that condition on the entire selection pattern rather than selection in particular equations and, therefore, use modified correction terms. It is shown that this class of estimators is consistent. In addition, Monte-Carlo results illustrate that these estimators display a smaller mean square prediction error.

Suggested Citation

  • Harald Tauchmann, 2010. "Consistency of Heckman-type two-step estimators for the multivariate sample-selection model," Applied Economics, Taylor & Francis Journals, vol. 42(30), pages 3895-3902.
    • Handle: RePEc:taf:applec:v:42:y:2010:i:30:p:3895-3902
    DOI: 10.1080/00036840802360179
    as

    Download full text from publisher

    File URL: http://www.tandfonline.com/doi/abs/10.1080/00036840802360179
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/00036840802360179?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. Heien, Dale & Durham, Cathy, 1991. "A Test of the Habit Formation Hypothesis Using Household Data," The Review of Economics and Statistics, MIT Press, vol. 73(2), pages 189-199, May.
    2. Barry K. Goodwin & Monte L. Vandeveer & John L. Deal, 2004. "An Empirical Analysis of Acreage Effects of Participation in the Federal Crop Insurance Program," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 86(4), pages 1058-1077.
    3. Frederic Vermeulen, 2001. "A note on Heckman-type corrections in models for zero expenditures," Applied Economics, Taylor & Francis Journals, vol. 33(9), pages 1089-1092.
    4. Zhuo Chen & Steven Yen, 2005. "On bias correction in the multivariate sample-selection model," Applied Economics, Taylor & Francis Journals, vol. 37(21), pages 2459-2468.
    5. Harald Tauchmann, 2005. "Efficiency of two-step estimators for censored systems of equations: Shonkwiler and Yen reconsidered," Applied Economics, Taylor & Francis Journals, vol. 37(4), pages 367-374.
    6. Poirier, Dale J., 1980. "Partial observability in bivariate probit models," Journal of Econometrics, Elsevier, vol. 12(2), pages 209-217, February.
    7. Heckman, James, 2013. "Sample selection bias as a specification error," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 31(3), pages 129-137.
    8. Beverly Tepper & Lee Rosenzweig, 1999. "Assessing the importance of health and nutrition related factors on food demand: a variable preference investigation," Applied Economics, Taylor & Francis Journals, vol. 31(12), pages 1541-1549.
    9. Shew-Jiuan Su & Steven Yen, 2000. "A censored system of cigarette and alcohol consumption," Applied Economics, Taylor & Francis Journals, vol. 32(6), pages 729-737.
    10. J. Scott Shonkwiler & Steven T. Yen, 1999. "Two-Step Estimation of a Censored System of Equations," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 81(4), pages 972-982.
    11. Steven T. Yen, 2005. "A Multivariate Sample-Selection Model: Estimating Cigarette and Alcohol Demands with Zero Observations," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 87(2), pages 453-466.
    12. Francis Vella, 1998. "Estimating Models with Sample Selection Bias: A Survey," Journal of Human Resources, University of Wisconsin Press, vol. 33(1), pages 127-169.
    13. Steven Yen & Kamhon Kan & Shew-Jiuan Su, 2002. "Household demand for fats and oils: two-step estimation of a censored demand system," Applied Economics, Taylor & Francis Journals, vol. 34(14), pages 1799-1806.
    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. Peter Tóth & Andrej Cupák & Marian Rizov, 2021. "Measuring the efficiency of VAT reforms: a demand system simulation approach," Oxford Economic Papers, Oxford University Press, vol. 73(3), pages 1218-1243.
    2. Dietrich, Stephan & Schmerzeck, Georg, 2020. "For real? Income and non-income effects of cash transfers on the demand for food," MERIT Working Papers 2020-006, United Nations University - Maastricht Economic and Social Research Institute on Innovation and Technology (MERIT).
    3. Rahbauer, S. & Staudigel, M. & Roosen, J., 2018. "Investigating German meat demand for consumer groups with different attitudes and sociodemographic characteristics," 2018 Conference, July 28-August 2, 2018, Vancouver, British Columbia 277058, International Association of Agricultural Economists.
    4. Javier García-Enríquez & Cruz A. Echevarría, 2016. "Consistent Estimation of a Censored Demand System and Welfare Analysis: The 2012 VAT Reform in Spain," Journal of Agricultural Economics, Wiley Blackwell, vol. 67(2), pages 324-347, June.
    5. Lachos, Victor H. & Prates, Marcos O. & Dey, Dipak K., 2021. "Heckman selection-t model: Parameter estimation via the EM-algorithm," Journal of Multivariate Analysis, Elsevier, vol. 184(C).
    6. Pablo Gálvez & Petr Mariel & David Hoyos, 2016. "Análisis de la demanda residencial de los servicios básicos en España usando un modelo QUAIDS censurado," Estudios de Economia, University of Chile, Department of Economics, vol. 43(1 Year 20), pages 5-28, June.
    7. Burggraf, Christine & Kuhn, Lena & Zhao, Qi-ran & Teuber, Ramona & Glauben, Thomas, 2015. "Economic growth and nutrition transition: An empirical analysis comparing demand elasticities for foods in China and Russia," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 14(6), pages 1008-1022.
    8. Mickael Beaud & Thierry Blayac & Patrice Bougette & Soufiane Khoudmi & Philippe Mahenc & Stéphane Mussard, 2013. "Estimation du coût d'opportunité des fonds publics pour l'économie française," Studies and Syntheses 14-01, LAMETA, Universtiy of Montpellier, revised Oct 2014.
    9. Burggraf, Christine & Kuhn, Lena & Zhao, Quiran & Teuber, Ramona & Glauben, Thomas, 2015. "Nutrition transition in two emerging countries: A comparison between China and Russia," 2015 Conference, August 9-14, 2015, Milan, Italy 211375, International Association of Agricultural Economists.
    10. Nyein Nyein Kyaw & Soojung Ahn & Sang Hyeon Lee, 2018. "Analysis of the Factors Influencing Market Participation among Smallholder Rice Farmers in Magway Region, Central Dry Zone of Myanmar," Sustainability, MDPI, vol. 10(12), pages 1-15, November.
    11. Javier García-Enríquez & Cruz A. Echevarría, 2018. "Demand for culture in Spain and the 2012 VAT rise," Journal of Cultural Economics, Springer;The Association for Cultural Economics International, vol. 42(3), pages 469-506, August.
    12. Yang, Chengyu & Wang, Xupeng, 2023. "Income and cultural consumption in China: A theoretical analysis and a regional empirical evidence," Journal of Economic Behavior & Organization, Elsevier, vol. 216(C), pages 102-123.
    13. Javier Alejo & Victor Funes, 2019. "Ecuaciones Salariales de Parejas bajo Selección Muestral Bivariada. Una Aplicación al Caso Argentino," CEDLAS, Working Papers 0246, CEDLAS, Universidad Nacional de La Plata.
    14. Andrej Cupák & Peter Tóth, 2017. "Measuring the Efficiency of VAT reforms: Evidence from Slovakia," Working and Discussion Papers WP 6/2017, Research Department, National Bank of Slovakia.

    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. Tauchmann, Harald, 2006. "A Note on Consistency of Heckman-type two-step Estimators for the Multivariate Sample-Selection Model," RWI Discussion Papers 40, RWI - Leibniz-Institut für Wirtschaftsforschung.
    2. Harald Tauchmann, 2006. "A Note on Consistency of Heckman-type two-step Estimators for the Multivariate Sample-Selection Model," RWI Discussion Papers 0040, Rheinisch-Westfälisches Institut für Wirtschaftsforschung.
    3. repec:zbw:rwidps:0040 is not listed on IDEAS
    4. Zhuo Chen & Steven Yen, 2005. "On bias correction in the multivariate sample-selection model," Applied Economics, Taylor & Francis Journals, vol. 37(21), pages 2459-2468.
    5. Harald Tauchmann, 2005. "Efficiency of two-step estimators for censored systems of equations: Shonkwiler and Yen reconsidered," Applied Economics, Taylor & Francis Journals, vol. 37(4), pages 367-374.
    6. Yu, Lingling & Hailu, Getu, 2010. "Household Demand for Convenience Chicken Meat Products in Canada," Consumer and Market Demand Network Papers 310299, University of Alberta, Department of Resource Economics and Environmental Sociology.
    7. Fadhuile, Adelaide & Lemarie, Stephane & Pirotte, Alain, 2011. "Pesticides Uses in Crop Production: What Can We Learn from French Farmers Practices?," 2011 Annual Meeting, July 24-26, 2011, Pittsburgh, Pennsylvania 103654, Agricultural and Applied Economics Association.
    8. Li, Phillip, 2011. "Estimation of sample selection models with two selection mechanisms," Computational Statistics & Data Analysis, Elsevier, vol. 55(2), pages 1099-1108, February.
    9. Egemen İPEK, 2019. "An Empirical Study on Alcohol Participation and Consumption Decision in Turkey," Sosyoekonomi Journal, Sosyoekonomi Society, issue 27(41).
    10. Renner, Sebastian & Lay, Jann & Schleicher, Michael, 2017. "The Effects of Energy Price Changes: Heterogeneous Welfare Impacts, Energy Poverty, and CO2 Emissions in Indonesia," GIGA Working Papers 302, GIGA German Institute of Global and Area Studies.
    11. Caillavet, France & Nichele, Veronique & Soler, Louis-Georges, 2008. "Are nutritional claims an adequate tool for public health? Evidence from food purchases in France," 2008 International Congress, August 26-29, 2008, Ghent, Belgium 44007, European Association of Agricultural Economists.
    12. Adélaïde Fadhuile & Stéphane Lemarié & Alain Pirotte, 2016. "Disaggregating the Demand for Pesticides: Does it Matter?," Canadian Journal of Agricultural Economics/Revue canadienne d'agroeconomie, Canadian Agricultural Economics Society/Societe canadienne d'agroeconomie, vol. 64(2), pages 223-252, June.
    13. Stewart, Hayden & Yen, Steven T., 2004. "Changing household characteristics and the away-from-home food market: a censored equation system approach," Food Policy, Elsevier, vol. 29(6), pages 643-658, December.
    14. Luigi Cembalo & Francesco Caracciolo & Eugenio Pomarici, 2014. "Drinking cheaply: the demand for basic wine in Italy," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 58(3), pages 374-391, July.
    15. Lopez, Jose Antonio & Malaga, Jaime E., 2009. "Forecast and Simulation Analysis of Mexican Meat Consumption at the Table Cut Level: Impacts on U.S. Exports," 2009 Annual Meeting, July 26-28, 2009, Milwaukee, Wisconsin 51986, Agricultural and Applied Economics Association.
    16. Berges, Miriam & Casellas, Karina, 2006. "Estimación de un sistema de demanda de alimentos: un análisis aplicado a hogares pobres y no pobres," Nülan. Deposited Documents 1053, Universidad Nacional de Mar del Plata, Facultad de Ciencias Económicas y Sociales, Centro de Documentación.
    17. Victor Chernozhukov & Ivan Fernandez-Val & Siyi Luo, 2023. "Distribution regression with sample selection and UK wage decomposition," CeMMAP working papers 09/23, Institute for Fiscal Studies.
    18. David Aristei & Luca Pieroni, 2008. "A double-hurdle approach to modelling tobacco consumption in Italy," Applied Economics, Taylor & Francis Journals, vol. 40(19), pages 2463-2476.
    19. Ole Boysen, 2016. "Food Demand Characteristics in Uganda: Estimation and Policy Relevance," South African Journal of Economics, Economic Society of South Africa, vol. 84(2), pages 260-293, June.
    20. Tauchmann, Harald & Göhlmann, Silja & Requate, Till & Schmidt, Christoph M., 2007. "Tobacco and Alcohol: Complements or Substitutes? – A Structural Model Approach," Ruhr Economic Papers 34, RWI - Leibniz-Institut für Wirtschaftsforschung, Ruhr-University Bochum, TU Dortmund University, University of Duisburg-Essen.
    21. Lopez, Jose Antonio & Malaga, Jaime E. & Chidmi, Benaissa & Belasco, Eric J. & Surles, James, 2012. "Mexican Meat Demand at the Table Cut Level: Estimating a Censored Demand System in a Complex Survey," Journal of Food Distribution Research, Food Distribution Research Society, vol. 43(2), pages 1-27.

    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:applec:v:42:y:2010:i:30:p:3895-3902. 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/RAEC20 .

    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.