Additive modelling has been widely used in nonparametric regression to circumvent the "curse of dimensionality", by … reducing the problem of estimating a multivariate regression function to the estimation of its univariate components …

Additive modelling is known to be useful for multivariate nonparametric regression as it reduces the complexity of … problem to the level of univariate regression. This usefulness could be compromised if the data set was contaminated by … procedure for the additive component of the regression function , less sensitive to possible outliers in the sample. Our …

; Nonparametric regression ; M-estimation …

We develop inference tools in a semiparametric partially linear regression model with missing response data. A class of … estimators is defined that includes as special cases: a semiparametric regression imputation estimator, a marginal average … using the semiparametric regression method the empirical log-likelihood is asymptotically a scaled chi-square variable. An …