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Bootstrap Version of Rao–Blackwellization to Two-Step and Instrumental Variable Estimators

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  • H. D. Vinod

    (Fordham University)

Abstract

We focus on Arnold and Katti’s application of the Rao–Blackwell theorem to improve preliminary test estimators. The improvement uniformly reduces the mean squared error (MSE) by replacing the pre-test estimator with a suitable conditional expectation. This paper suggests a novel use of the bootstrap to compute the relevant conditional expectation numerically. We illustrate with two econometric estimators. First, a pre-test estimator of the scale elasticity (SCE) for US production of metals. Second, instrumental variables (IV) estimator of the marginal propensity to consume (MPC) of the Haavelmo model. We use relatively large simulation experiments to show MSE reductions in Rao–Blackwellized pre-test and IV estimators. These illustrations show that one can use our bootstrap version to improve these 2-step estimators, and perhaps others.

Suggested Citation

  • H. D. Vinod, 2022. "Bootstrap Version of Rao–Blackwellization to Two-Step and Instrumental Variable Estimators," Journal of Quantitative Economics, Springer;The Indian Econometric Society (TIES), vol. 20(1), pages 49-69, September.
    • Handle: RePEc:spr:jqecon:v:20:y:2022:i:1:d:10.1007_s40953-022-00303-0
    DOI: 10.1007/s40953-022-00303-0
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    References listed on IDEAS

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    1. Abel Brodeur & Nikolai Cook & Anthony Heyes, 2020. "Methods Matter: p-Hacking and Publication Bias in Causal Analysis in Economics," American Economic Review, American Economic Association, vol. 110(11), pages 3634-3660, November.
    2. Bradley Efron, 2004. "The Estimation of Prediction Error: Covariance Penalties and Cross-Validation," Journal of the American Statistical Association, American Statistical Association, vol. 99, pages 619-632, January.
    3. Arnold, J. C. & Katti, S. K., 1972. "An application of the Rao-Blackwell theorem in preliminary test estimators," Journal of Multivariate Analysis, Elsevier, vol. 2(2), pages 236-238, June.
    4. 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.
    5. Wu, De-Min, 1973. "Alternative Tests of Independence Between Stochastic Regressors and Disturbances," Econometrica, Econometric Society, vol. 41(4), pages 733-750, July.
    6. Hrishikesh D. Vinod, 2022. "Kernel Regression Coefficients for Practical Significance," JRFM, MDPI, vol. 15(1), pages 1-13, January.
    7. Toomet, Ott & Henningsen, Arne, 2008. "Sample Selection Models in R: Package sampleSelection," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 27(i07).
    8. Vinod, Hrishikesh D. & Lopez-de-Lacalle, Javier, 2009. "Maximum Entropy Bootstrap for Time Series: The meboot R Package," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 29(i05).
    9. Ronald L. Wasserstein & Allen L. Schirm & Nicole A. Lazar, 2019. "Moving to a World Beyond “p," The American Statistician, Taylor & Francis Journals, vol. 73(S1), pages 1-19, March.
    10. H. D. Vinod, 2020. "Software-Illustrated Explanations of Econometrics Contributions by CR Rao for his 100-th Birthday," Journal of Quantitative Economics, Springer;The Indian Econometric Society (TIES), vol. 18(2), pages 235-252, June.
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