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The Consistency of Nonlinear Regression Minimizing the $L_1$-Norm
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The Consistency of Nonlinear Regression Minimizing the $L_1$-Norm
The Consistency of Nonlinear Regression Minimizing the $L_1$-Norm
WO
Walter Oberhofer
Walter Oberhofer
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1 March 1982
journal article
Published by
Institute of Mathematical Statistics
in
The Annals of Statistics
Vol. 10
(1)
,
316-319
https://doi.org/10.1214/aos/1176345716
Abstract
We consider conditions in a nonlinear regression model for the consistency of the estimator obtained by minimizing the $L_1$-norm, i.e. the sum of absolute deviations.
Keywords
CONSISTENCY
ABSOLUTE DEVIATIONS
CONSIDER CONDITIONS
REGRESSION MINIMIZING
NONLINEAR
SUM
REGRESSION MODEL
ESTIMATOR OBTAINED
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Open Access
Cited by 49 articles