Minimizing oblique errors for robust estimating

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Irish Mathematical Society

Abstract

The slope of the best fit line from minimizing the sum of the squared oblique errors is shown to be the root of a polynomial of degree four. We introduce a median estimator for the slope and, using a case study, we show that the median estimator is robust.

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Minimizing oblique errors for robust estimating

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O'Driscoll, D., Ramirez, D.E., Schmitz, R. (2008) 'Minimizing oblique errors for robust estimating.' Irsih Mathematical Society Bulletin 62, pp. 71–78.