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Bias-corrected Moment-based Estimators for Parametric Models under Endogenous Stratified Sampling

Author

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  • Joaquim J.S. Ramalho

    (Department of Economics, University of Évora)

  • Esmeralda Ramalho

    (Department of Economics, University of Évora)

Abstract

This paper provides an integrated approach for estimating parametric models from endogenous stratified samples. We discuss several alternative ways of removing the bias of the moment indicators usually employed under random sampling for estimating the parameters of the structural model and the proportion of the strata in the population. Those alternatives give rise to a bunch of moment-based estimators which are appropriate for both cases where the marginal strata probabilities are known and unknown. The derivation of our estimators is very simple and intuitive and incorporates as particular cases most of the likelihood-based estimators existing in the literature.

Suggested Citation

  • Joaquim J.S. Ramalho & Esmeralda Ramalho, 2005. "Bias-corrected Moment-based Estimators for Parametric Models under Endogenous Stratified Sampling," Economics Working Papers 11_2005, University of Évora, Department of Economics (Portugal).
    • Handle: RePEc:evo:wpecon:11_2005
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    File URL: http://hdl.handle.net/10174/8433
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    References listed on IDEAS

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    1. Imbens, Guido W, 1992. "An Efficient Method of Moments Estimator for Discrete Choice Models with Choice-Based Sampling," Econometrica, Econometric Society, vol. 60(5), pages 1187-1214, September.
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    3. Whitney K. Newey & Richard J. Smith, 2004. "Higher Order Properties of Gmm and Generalized Empirical Likelihood Estimators," Econometrica, Econometric Society, vol. 72(1), pages 219-255, January.
    4. Tripathi, Gautam, 2011. "Moment-Based Inference With Stratified Data," Econometric Theory, Cambridge University Press, vol. 27(1), pages 47-73, February.
    5. Cosslett, Stephen R, 1981. "Maximum Likelihood Estimator for Choice-Based Samples," Econometrica, Econometric Society, vol. 49(5), pages 1289-1316, September.
    6. Early, Dirk W., 1999. "A Microeconomic Analysis of Homelessness: An Empirical Investigation Using Choice-Based Sampling," Journal of Housing Economics, Elsevier, vol. 8(4), pages 312-327, December.
    7. Imbens, Guido W. & Lancaster, Tony, 1996. "Efficient estimation and stratified sampling," Journal of Econometrics, Elsevier, vol. 74(2), pages 289-318, October.
    8. Artis, Manuel & Ayuso, Mercedes & Guillen, Montserrat, 1999. "Modelling different types of automobile insurance fraud behaviour in the Spanish market," Insurance: Mathematics and Economics, Elsevier, vol. 24(1-2), pages 67-81, March.
    9. Kitamura, Ryuichi & Yamamoto, Toshiyuki & Sakai, Hiromu, 2003. "A methodology for weighting observations from complex endogenous sampling," Transportation Research Part B: Methodological, Elsevier, vol. 37(4), pages 387-401, May.
    10. Manski, Charles F & Lerman, Steven R, 1977. "The Estimation of Choice Probabilities from Choice Based Samples," Econometrica, Econometric Society, vol. 45(8), pages 1977-1988, November.
    11. Jeffrey M. Wooldridge, 1999. "Asymptotic Properties of Weighted M-Estimators for Variable Probability Samples," Econometrica, Econometric Society, vol. 67(6), pages 1385-1406, November.
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    Cited by:

    1. Ramalho Esmeralda A., 2010. "Covariate Measurement Error: Bias Reduction under Response-Based Sampling," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 14(4), pages 1-34, September.
    2. Tawei Wang & Karthik N. Kannan & Jackie Rees Ulmer, 2013. "The Association Between the Disclosure and the Realization of Information Security Risk Factors," Information Systems Research, INFORMS, vol. 24(2), pages 201-218, June.
    3. Prokhorov, Artem & Schmidt, Peter, 2009. "GMM redundancy results for general missing data problems," Journal of Econometrics, Elsevier, vol. 151(1), pages 47-55, July.

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    More about this item

    Keywords

    Endogenous Stratified Sampling; Bias correction; GMM; Parametric models;
    All these keywords.

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General

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