The sensitivity of OLS when variance matrix is (partially) unknown


Banerjee, Anurag N. and Magnus, Jan R. (1999) The sensitivity of OLS when variance matrix is (partially) unknown Journal of Econometrics, 92, (2), pp. 295-323. (doi:10.1016/S0304-4076(98)00093-1).

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Description/Abstract

We consider the standard linear regression model y=X?+u with all standard assumptions, except that the variance matrix is assumed to be ?2?(?), where ? depends on m unknown parameters ?1,…, ?m. Our interest lies exclusively in the mean parameters ? or X?. We introduce a new sensitivity statistic (B1) which is designed to decide whether y (or B) is sensitive to covariance misspecification. We show that the Durbin–Watson test is inappropriate in this context, because it measures the sensitivity of Image to covariance misspecification. Our results demonstrate that the estimator Image and the predictor Image are not very sensitive to covariance misspecification. The statistic is easy to use and performs well even in cases where it is not strictly applicable.

Item Type: Article
Digital Object Identifier (DOI): doi:10.1016/S0304-4076(98)00093-1
ISSNs: 0304-4076 (print)
Keywords: linear regression, least squares, autocorrelation, durbin–watson test, sensitivity
Subjects:

ePrint ID: 32931
Date :
Date Event
1999Published
Date Deposited: 26 Jul 2006
Last Modified: 16 Apr 2017 22:18
Further Information:Google Scholar
URI: http://eprints.soton.ac.uk/id/eprint/32931

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