  In this paper, based on the kernel estimator proposed by Ould-Said and
Lemdani (Ann. Instit. Statist. Math. 2006), we develop some new generalized
M-estimator procedures for single index regression models with left-truncated
responses. The consistency and asymptotic normality of our estimators are also
established. Some simulation studies are given to investigate the finite sample
performance of the proposed estimators.
