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The Choice of the Initial Estimate for Computing MM-Estimates

Marcela Svarc () and Víctor J. Yohai ()
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Marcela Svarc: Universidad de San Andrés, Departamento de Matemática y Ciencias
Víctor J. Yohai: Universidad de Buenos Aires, Departamento de Matemática, Facultad de Ciencias Exactas y Naturales

A chapter in COMPSTAT 2008, 2008, pp 503-515 from Springer

Abstract: Abstract We show, using a Monte Carlo study, that MM-estimates with projection estimates as starting point of an iterative weighted least squares algorithm, behave more robustly than MM-estimates starting at an S-estimate and similar Gaussian efficiency. Moreover the former have a robustness behavior close to the P-estimates with an additional advantage: they are asymptotically normal making statistical inference possible.

Keywords: robust regression; S-estimates; P-estimates (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-7908-2084-3_41

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DOI: 10.1007/978-3-7908-2084-3_41

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