The Consistency of Nonlinear Regression Minimizing the $L_1$-Norm

Open Access

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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