  This article studies a trimmed version of the Nadaraya-Watson estimator to
estimate the unknown non-parametric regression function. The characterization
of the estimator through minimization problem is established, and its pointwise
asymptotic distribution is also derived. The robustness property of the
proposed estimator is also studied through breakdown point. Besides, the
asymptotic efficiency study along with an extensive simulation study shows that
this estimator performs well for various cases. The practicability of the
estimator is shown for three benchmark real data as well.
