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Testing Heteroscedasticity in Robust Regression

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    0377392 - ÚI 2013 RIV GB eng J - Journal Article
    Kalina, Jan
    Testing Heteroscedasticity in Robust Regression.
    Research Journal of Economics, Business and ICT. Roč. 1, č. 4 (2011), s. 25-28. ISSN 2045-3345
    Grant - others:GA ČR(CZ) GA402/09/0557
    Institutional research plan: CEZ:AV0Z10300504
    Keywords : robust regression * heteroscedasticity * regression quantiles * diagnostics
    Subject RIV: BB - Applied Statistics, Operational Research

    This work studies the phenomenon of heteroscedasticity and its consequences for various robust estimation methods for the linear regression, including the least weighted squares, regression quantiles and trimmed least squares estimators. We investigate hypothesis tests for these regression methods and removing heteroscedasticity from the linear regression model. The new asymptotic heteroscedasticity tests for robust regression are asymptotically equivalent to standard tests computed for the least squares regression. Also we describe an asymptotic approximation to the exact null distribution of the test statistics. We describe a robust estimation procedure for the linear regression with heteroscedastic errors.
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