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An investigation of an unbiased correction for heteroskedasticity and the effects of misspecifying the skedastic function

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  • Belsley, David A.

Abstract

The traditional two-step procedure for correcting for heteroskedasticity uses a consistent but biased estimator for the variances $\bfg\sigma_t^2$ in enacting the second step. An estimator is developed here that is unbiased in the presence of heteroskedasticity. Its behavior is examined along with the traditional estimator and another known to be unbiased in the absence of heteroskedasticity. The behavior of these corrective methods is also examined when the form and arguments of the skedastic function are misspecified. This is accomplished using Monte Carlo studies of several situations of interest.
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  • Belsley, David A., 2002. "An investigation of an unbiased correction for heteroskedasticity and the effects of misspecifying the skedastic function," Journal of Economic Dynamics and Control, Elsevier, vol. 26(9-10), pages 1379-1396, August.
    • Handle: RePEc:eee:dyncon:v:26:y:2002:i:9-10:p:1379-1396
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    References listed on IDEAS

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    1. Belsley, David A, 1997. "A Small-Sample Correction for Testing for gth-Order Serial Correlation with Artificial Regressions," Computational Economics, Springer;Society for Computational Economics, vol. 10(3), pages 197-229, August.
    2. Davidson, Russell & MacKinnon, James G., 1993. "Estimation and Inference in Econometrics," OUP Catalogue, Oxford University Press, number 9780195060119.
    3. MacKinnon, James G, 1992. "Model Specification Tests and Artificial Regressions," Journal of Economic Literature, American Economic Association, vol. 30(1), pages 102-146, March.
    4. Breusch, T S & Pagan, A R, 1979. "A Simple Test for Heteroscedasticity and Random Coefficient Variation," Econometrica, Econometric Society, vol. 47(5), pages 1287-1294, September.
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    1. Erdenebat Bataa & Dong H. Kim & Denise R. Osborn, 2007. "Expectations Hypothesis Tests in the Presence of Model Uncertainty," Discussion Paper Series 0703, Institute of Economic Research, Korea University.
    2. Erdenebat Bataa & Dong H. Kim & Denise R. Osborn, 2006. "A Further Examination of the Expectations Hypothesis for the Term Structure," Economics Discussion Paper Series 0611, Economics, The University of Manchester.
    3. Godfrey, L.G., 2006. "Tests for regression models with heteroskedasticity of unknown form," Computational Statistics & Data Analysis, Elsevier, vol. 50(10), pages 2715-2733, June.
    4. Godfrey, L.G. & Tremayne, A.R., 2005. "The wild bootstrap and heteroskedasticity-robust tests for serial correlation in dynamic regression models," Computational Statistics & Data Analysis, Elsevier, vol. 49(2), pages 377-395, April.

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