Regression with strongly correlated data

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dc.creatorJones, C. S.
dc.creatorFinn, J. M.
dc.creatorHengartner, N.
dc.date2007-02-27
dc.date.accessioned2026-07-07T08:08:48Z
dc.date.available2026-07-07T08:08:48Z
dc.descriptionThis paper discusses linear regression of strongly correlated data that arises, for example, in magnetohydrodynamic equilibrium reconstructions. We have proved that, generically, the covariance matrix of the estimated regression parameters for fixed sample size goes to zero as the correlations become unity. That is, in this limit the estimated parameters are known with perfect accuracy. Simple examples are shown to illustrate this effect and the nature of the exceptional cases in which the estimate covariance does not go to zero.
dc.identifierhttps://arxiv.org/abs/math/0702843
dc.identifierhttp://arxiv.org/abs/math/0702843
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/131389
dc.subjectStatistics Theory
dc.subject62J10; 62J05
dc.titleRegression with strongly correlated data
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