Abstract

Consider the regression model Yi = g(xi)+ei for i = 1, 2, . . . , n, where: (1) xi are fixed design points, (2) ei are independent random errors with mean zero, (3) g(·) is unknown regression function defined on [0, 1]. Under Yi are censored randomly, we discuss the asymptotic normality of the weighted kernel estimators of g when the censored distribution function is known or unknown.

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