Regressions with Asymptotically Collinear Regressor

Kairat Mynbaev

MPRA Paper from University Library of Munich, Germany

Abstract: We investigate the asymptotic behavior of the OLS estimator for regressions with two slowly varying regressors. It is shown that the asymptotic distribution is normal one-dimensional and may belong to one of four types depending on the relative rates of growth of the regressors. The analysis establishes, in particular, a new link between slow variation and $L_p$-approximability. A revised version of this paper has been published in Econometrics Journal (2011), volume 14, pp. 304--320.

Keywords: Asymptotically collinear regressors; asymptotic distribution; Lp-approximability; OLS estimator (search for similar items in EconPapers)
JEL-codes: C01 C13 (search for similar items in EconPapers)
Date: 2009-08
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Journal Article: Regressions with asymptotically collinear regressors (2011)
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Persistent link: https://EconPapers.repec.org/RePEc:pra:mprapa:31315

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