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Nonuniqueness of least absolute values regression
Authors:H Leon Harter
Institution:Air Force Flight Dynamics Laboratory Wright-Patterson AFB , Ohio
Abstract:The question of nonuniqueness of the least absolute values (L1) regression is discussed, and examples are given of situations where the L1-regression is unique and where it has 2, 3 and 4 limiting positions. A method is proposed for finding a compromise regression line when the L1 regression is not unique. Suggestions are made for further research.
Keywords:robust estimation  uniqueness  adaptive procedures
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