Geodesic
Sensitivity analysis of $M$-estimators of non-linear regression models
Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994) no. 1, pp. 111-125

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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.
Classification : 62F12, 62F35, 62J02
Keywords: $M$-estimation of non-linear regression models; the influence points 
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     title = {Sensitivity analysis of $M$-estimators of non-linear regression models},
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Rubio, A. M.; Quintana, F.; Víšek, J. Á. Sensitivity analysis of $M$-estimators of non-linear regression models. Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994) no. 1, pp. 111-125. http://geodesic.mathdoc.fr/item/CMUC_1994__35_1_a11/