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Using Weights to Adjust for Sample Selection When Auxiliary Information is Available

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Aviv Nevo

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Abstract

In this paper I analyze GMM estimation when the sample is not a random draw from the population of interest. I exploit auxiliary information, in the form of moments from the population of interest, in order to compute weights that are proportional to the inverse probability of selection. The essential idea is to construct weights, for each observation in the primary data, such that the moments of the weighted data are set equal to the additional moments. The estimator is applied to the Dutch Transportation Panel, in which refreshment draws were taken from the population of interest in order to deal with heavy attrition of the original panel. I show how these additional samples can be used to adjust for sample selection.

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Paper provided by National Bureau of Economic Research, Inc in its series NBER Technical Working Papers with number 0275.

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Date of creation: Nov 2001
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Handle: RePEc:nbr:nberte:0275

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C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data

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References listed on IDEAS
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  10. Ekaterini Kyriazidou, 1997. "Estimation of a Panel Data Sample Selection Model," Econometrica, Econometric Society, vol. 65(6), pages 1335-1364, November.
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  12. Z, Griliches ; Jacques Mairesse, . "Production Functions : The Search for Identification," Working Papers 97-30, Centre de Recherche en Economie et Statistique. [Downloadable!]
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  13. Guido Imbens, 2000. "Efficient Estimation of Average Treatment Effects Using the Estimated Propensity Score," Econometric Society World Congress 2000 Contributed Papers 1166, Econometric Society. [Downloadable!]
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  14. Ridder, Geert, 1992. "An empirical evaluation of some models for non-random attrition in panel data," Structural Change and Economic Dynamics, Elsevier, vol. 3(2), pages 337-355, December. [Downloadable!] (restricted)
  15. Pagan, Adrian, 1986. "Two Stage and Related Estimators and Their Applications," Review of Economic Studies, Blackwell Publishing, vol. 53(4), pages 517-38, August. [Downloadable!] (restricted)
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  16. Guido W. Imbens & Richard H. Spady & Phillip Johnson, 1998. "Information Theoretic Approaches to Inference in Moment Condition Models," Econometrica, Econometric Society, vol. 66(2), pages 333-358, March.
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  17. Imbens, G.W. & Lancaster, T., 1991. "Combining Micro and Macro Data in Microeconometric Models," Harvard Institute of Economic Research Working Papers 1578, Harvard - Institute of Economic Research.
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  18. Olley, G Steven & Pakes, Ariel, 1996. "The Dynamics of Productivity in the Telecommunications Equipment Industry," Econometrica, Econometric Society, vol. 64(6), pages 1263-97, November. [Downloadable!] (restricted)
  19. Back, Kerry & Brown, David P, 1993. "Implied Probabilities in GMM Estimators," Econometrica, Econometric Society, vol. 61(4), pages 971-75, July. [Downloadable!] (restricted)
  20. Nevo, Aviv, 2002. "Sample selection and information-theoretic alternatives to GMM," Journal of Econometrics, Elsevier, vol. 107(1-2), pages 149-157, March. [Downloadable!] (restricted)
  21. Jeffrey M. Wooldridge, 1999. "Asymptotic Properties of Weighted M-Estimators for Variable Probability Samples," Econometrica, Econometric Society, vol. 67(6), pages 1385-1406, November.
  22. Keisuke Hirano & Guido W. Imbens & Geert Ridder & Donald B. Rubin, 1998. "Combining Panel Data Sets with Attrition and Refreshment Samples," Tinbergen Institute Discussion Papers 98-033/4, Tinbergen Institute. [Downloadable!]
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  23. Judith K. Hellerstein & Guido W. Imbens, 1999. "Imposing Moment Restrictions From Auxiliary Data By Weighting," The Review of Economics and Statistics, MIT Press, vol. 81(1), pages 1-14, February. [Downloadable!] (restricted)
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  24. Yuichi Kitamura & Michael Stutzer, 1997. "An Information-Theoretic Alternative to Generalized Method of Moments Estimation," Econometrica, Econometric Society, vol. 65(4), pages 861-874, July.
  25. Imbens, Guido W, 1997. "One-Step Estimators for Over-Identified Generalized Method of Moments Models," Review of Economic Studies, Blackwell Publishing, vol. 64(3), pages 359-83, July. [Downloadable!] (restricted)
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  1. Daniel Egel & Bryan S. Graham & Cristine Campos de Xavier Pinto, 2008. "Inverse Probability Tilting and Missing Data Problems," NBER Working Papers 13981, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  2. Lechner, Michael, 2004. "Sequential Matching Estimation of Dynamic Causal Models," IZA Discussion Papers 1042, Institute for the Study of Labor (IZA). [Downloadable!]
    Other versions:
  3. Paul J. Devereux & Gautam Tripathi, 2008. "Optimally combining Censored and Uncensored Datasets," Working Papers 200820, School Of Economics, University College Dublin. [Downloadable!]
    Other versions:
  4. repec:bep:sndecm:11:2007:4:1531-1531 is not listed on IDEAS
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