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An application of shrinkage estimation to the nonlinear regression model

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  • Ahmed, S. Ejaz
  • Nicol, Christopher J.

Abstract

Various large sample estimation techniques in a nonlinear regression model are presented. These estimators are based around preliminary tests of significance, and the James–Stein rule. The properties of these estimators are studied when estimating regression coefficients in the multiple nonlinear regression model when it is a priori suspected that the coefficients may be restricted to a subspace. A simulation based on a demand for money model shows the superiority of the positive-part shrinkage estimator, in terms of standard measures of asymptotic distributional quadratic bias and risk measures, over a range of economically meaningful parameter values. Further work remains in analysing the use of these estimators in economic applications, relative to the inferential approach which is best to use in these circumstances.

Suggested Citation

  • Ahmed, S. Ejaz & Nicol, Christopher J., 2012. "An application of shrinkage estimation to the nonlinear regression model," Computational Statistics & Data Analysis, Elsevier, vol. 56(11), pages 3309-3321.
    • Handle: RePEc:eee:csdana:v:56:y:2012:i:11:p:3309-3321
    DOI: 10.1016/j.csda.2010.07.022
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    1. Kazimi, Camilla & Brownstone, David, 1999. "Bootstrap confidence bands for shrinkage estimators," Journal of Econometrics, Elsevier, vol. 90(1), pages 99-127, May.
    2. Simon Stevenson, 2001. "Bayes-Stein Estimators and International Real Estate Asset Allocation," Journal of Real Estate Research, American Real Estate Society, vol. 21(1/2), pages 89-104.
    3. Maddala, G S, et al, 1997. "Estimation of Short-Run and Long-Run Elasticities of Energy Demand from Panel Data Using Shrinkage Estimators," Journal of Business & Economic Statistics, American Statistical Association, vol. 15(1), pages 90-100, January.
    4. Helen X. H. Bao & Alan T. K. Wan, 2007. "Improved Estimators of Hedonic Housing Price Models," Journal of Real Estate Research, American Real Estate Society, vol. 29(3), pages 267-302.
    5. Davidson, Russell & MacKinnon, James G., 1993. "Estimation and Inference in Econometrics," OUP Catalogue, Oxford University Press, number 9780195060119.
    6. Kiefer, Nicholas M & Skoog, Gary R, 1984. "Local Asymptotic Specification Error Analysis," Econometrica, Econometric Society, vol. 52(4), pages 873-885, July.
    7. Ahmed, S. E. & Saleh, A. K. Md. E., 1990. "Estimation strategies for the intercept vector in a simple linear multivariate normal regression model," Computational Statistics & Data Analysis, Elsevier, vol. 10(3), pages 193-206, December.
    8. White, Kenneth J, 1978. "A General Computer Program for Econometric Methods-Shazam," Econometrica, Econometric Society, vol. 46(1), pages 239-240, January.
    9. Dexter, Albert S & Levi, Maurice D & Nault, Barrie R, 1993. "Freely Determined versus Regulated Prices: Implications for the Measured Link between Money and Inflation," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 25(2), pages 222-230, May.
    10. Ahmed, S. E. & Krzanowski, W. J., 2004. "Biased estimation in a simple multivariate regression model," Computational Statistics & Data Analysis, Elsevier, vol. 45(4), pages 689-696, May.
    11. Adkins, Lee C. & Hill, R. Carter, 1989. "Risk characteristics of a stein-like estimator for the probit regression model," Economics Letters, Elsevier, vol. 30(1), pages 19-26.
    12. Knight J. R. & Hill R. Carter & Sirmans C. F., 1993. "Estimation of Hedonic Housing Price Models Using Nonsample Information: A Monte Carlo Study," Journal of Urban Economics, Elsevier, vol. 34(3), pages 319-346, November.
    13. Ahmed, S. Ejaz, 1994. "Improved estimation in a multivariate regression model," Computational Statistics & Data Analysis, Elsevier, vol. 17(5), pages 537-554, June.
    14. Alan Wan & Anoop Chaturvedi & Guohuazou Zou, 2003. "Unbiased estimation of the MSE matrices of improved estimators in linear regression," Journal of Applied Statistics, Taylor & Francis Journals, vol. 30(2), pages 173-189.
    15. Ghosh M. & Saleh A.K.Md.E. & Sen P.K., 1989. "Empirical Bayes Subset Estimation In Regression Models," Statistics & Risk Modeling, De Gruyter, vol. 7(1-2), pages 15-36, February.
    16. S. K. Sapra, 2003. "Pre-test estimation in Poisson regression model," Applied Economics Letters, Taylor & Francis Journals, vol. 10(9), pages 541-543.
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    2. Tiefeng Ma & Shuangzhe Liu & S. Ahmed, 2014. "Shrinkage estimation for the mean of the inverse Gaussian population," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 77(6), pages 733-752, August.
    3. Solomon W. Polachek & Tirthatanmoy Das & Rewat Thamma-Apiroam, 2015. "Micro- and Macroeconomic Implications of Heterogeneity in the Production of Human Capital," Journal of Political Economy, University of Chicago Press, vol. 123(6), pages 1410-1455.

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