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The present paper deals with a nonparametric M-estimation for right censoredregression model with stationary ergodic data. Defined as an implicit function,a kernel type estimator of a family of robust regression is considered when thecovariate take its values in R^d (d >= 1) and the data are sampled fromstationary ergodic process. The strong consistency (with rate) and theasymptotic distribution of the estimator are established under mildassumptions. Moreover, a usable confidence interval is provided which does notdepend on any unknown quantity. Our results hold without any mixing conditionand do not require the existence of marginal densities. A comparison studybased on simulated data is also provided.

Nonparametric M-estimation for right censored regression model with stationary ergodic data