A Note on Consistency of Heckman-type two-step Estimators for the Multivariate Sample-Selection Model
This analysis shows that multivariate generalizations to the classical Heckman (1976 and 1979) two-step estimator that account for cross-equation correlation and use the inverse Mills ratio as a correction-term are consistent only if certain restrictions apply to the true error-covariance structure.We derive an alternative class of generalizations to the classical Heckman two-step approach that conditions on the entire selection pattern rather than the selection of particular equations and, therefore, uses modified correction-terms. This class of estimators is shown to be consistent. In addition, Monte-Carlo results illustrate that these estimators display a smaller mean square prediction error.
|Date of creation:||Apr 2006|
|Date of revision:|
|Contact details of provider:|| Postal: Hohenzollernstraße 1-3, 45128 Essen|
Web page: http://www.rwi-essen.de/
More information through EDIRC
|Order Information:||Web: http://www.rwi-essen.de/publikationen/|
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- 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.
- 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.
- 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 189-99, May.
- 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.
- 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.
- 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.
- Heien, Dale & Wessells, Cathy Roheim, 1990. "Demand Systems Estimation with Microdata: A Censored Regression Approach," Journal of Business & Economic Statistics, American Statistical Association, vol. 8(3), pages 365-71, July.
- 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.
- 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.
- 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.
- Poirier, Dale J., 1980. "Partial observability in bivariate probit models," Journal of Econometrics, Elsevier, vol. 12(2), pages 209-217, February.
- James J. Heckman, 1976. "The Common Structure of Statistical Models of Truncation, Sample Selection and Limited Dependent Variables and a Simple Estimator for Such Models," NBER Chapters, in: Annals of Economic and Social Measurement, Volume 5, number 4, pages 475-492 National Bureau of Economic Research, Inc.
When requesting a correction, please mention this item's handle: RePEc:rwi:dpaper:0040. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Sabine Weiler)
If references are entirely missing, you can add them using this form.