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It has been recently shown that nonparametric estimators of the additiveregression function could be obtained in the presence of right censoring bycoupling the marginal integration method with initial kernel-type InverseProbability of Censoring Weighted estimators of the multivariate regressionfunction \citeDebbarhViallon3. In this paper, we get the exact rate of stronguniform consistency for such estimators. Our uniform limit laws especially leadto the construction of asymptotic simultaneous 100% confidence bands for thetrue regression function.

Uniform limit laws of the logarithm for estimators of the additive regression function in the presence of right censored data