The best least absolute deviations line---properties and two efficient methods

Kristian Sabo, Rudolf Scitovski

Abstract


Given a set of points in the plane, the problem of existence and finding the least absolute deviations line is considered. The most important properties are stated and proved and two efficient methods for searching the optimal parameters are proposed. Compared to other known methods, our proposed methods proved to be considerably more efficient.

doi:10.1017/S1446181108000345



DOI: http://dx.doi.org/10.21914/anziamj.v50i0.403



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ANZIAM Journal, ISSN 1446-8735, copyright Australian Mathematical Society.