Sensitivity analysis of $M$-estimators of non-linear regression models

Rubio, Asunción, Quintana, Francisco, and Víšek, Jan Ámos. "Sensitivity analysis of $M$-estimators of non-linear regression models." Commentationes Mathematicae Universitatis Carolinae 35.1 (1994): 111-125. <http://eudml.org/doc/247578>.

@article{Rubio1994,
abstract = {An asymptotic formula for the difference of the $M$-estimates of the regression coefficients of the non-linear model for all $n$ observations and for $n-1$ observations is presented under conditions covering the twice absolutely continuous $\varrho $-functions. Then the implications for the $M$-estimation of the regression model are discussed.},
author = {Rubio, Asunción, Quintana, Francisco, Víšek, Jan Ámos},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {$M$-estimation of non-linear regression models; the influence points; difference of -estimates of regression coefficients; second order absolutely continuous rho-functions; asymptotic formula},
language = {eng},
number = {1},
pages = {111-125},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Sensitivity analysis of $M$-estimators of non-linear regression models},
url = {http://eudml.org/doc/247578},
volume = {35},
year = {1994},
}

TY - JOUR
AU - Rubio, Asunción
AU - Quintana, Francisco
AU - Víšek, Jan Ámos
TI - Sensitivity analysis of $M$-estimators of non-linear regression models
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1994
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 35
IS - 1
SP - 111
EP - 125
AB - An asymptotic formula for the difference of the $M$-estimates of the regression coefficients of the non-linear model for all $n$ observations and for $n-1$ observations is presented under conditions covering the twice absolutely continuous $\varrho $-functions. Then the implications for the $M$-estimation of the regression model are discussed.
LA - eng
KW - $M$-estimation of non-linear regression models; the influence points; difference of -estimates of regression coefficients; second order absolutely continuous rho-functions; asymptotic formula
UR - http://eudml.org/doc/247578
ER -