Ahmed, Mumtaz and Zaman, Asad (2014): A Minimax Bias Estimator for OLS Variances under Heteroskedasticity.
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Abstract
Analytic evaluation of heteroskedasticity consistent covariance matrix estimates (HCCME) is difficult because of the complexity of the formulae currently available. We obtain new analytic formulae for the bias of a class of estimators of the covariance matrix of OLS in a standard linear regression model. These formulae provide substantial insight into the properties and performance characteristics of these estimators. In particular, we find a new estimator which minimizes the maximum possible bias and improves substantially on the standard Eicker-White estimate.
Item Type: | MPRA Paper |
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Original Title: | A Minimax Bias Estimator for OLS Variances under Heteroskedasticity |
English Title: | A Minimax Bias Estimator for OLS Variances under Heteroskedasticity |
Language: | English |
Keywords: | Eicker-White; OLS; Bias; Worst Case Bias |
Subjects: | C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods and Methodology: General C - Mathematical and Quantitative Methods > C2 - Single Equation Models ; Single Variables |
Item ID: | 55724 |
Depositing User: | Dr. Mumtaz Ahmed |
Date Deposited: | 08 May 2014 03:28 |
Last Modified: | 28 Sep 2019 02:10 |
References: | Ahmed, M. (2012). Analytical Comparison of HCCMEs: PhD Thesis. IIIE, International Islamic University, Islamabad, Pakistan. Chesher A., Jewitt, I. (1987). The Bias of Heteroskedasticity Consistent Covariance Matrix Estimators. Econometrica, 55(5), 1217-1222. Cribari-Neto F. (2004). Asymptotic inference under heteroskedasticity of unknown form. Computational Statistics & Data Analysis, 45, 215 – 233. Cribari-Neto et al. (2007). Inference under Heteroskedasticity and Leveraged Data. Communications in Statistics - Theory and Methods, 36(10), 1877 - 1888. Eicker F. (1963). Asymptotic Normality and Consistency of the Least squares Estimators for Families of Linear Regressions. Annals of Mathematical Statistics, 34, 447-456. Hinkley, V. D. (1977). Jackknifing in Unbalanced Situation. Technometrics, 19, 285-292. Horn, S. D., Horn, R. A., Duncan, D. B. (1975). Estimating heteroskedastic variances in linear models. Journal of the American Statistical Association, 70, 380-385. Mackinnon, J. and White (1985). Some Heteroskedasticity-Consistent Covariance Matrix Estimator with Improved Finite Sample Properties. Journal of Econometrics, 29, 305-325. White, H. (1980). A Heteroskedasticity-Consistent Covariance Matrix Estimator and a Direct Test for Heteroskedasticity. Econometrica, 48(4), 817-838. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/55724 |