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Consider the following nonparametric model:  Y   ni  = g ( x   ni  )+ ε   ni  , 1 ⩽  i  ⩽  n , wherex   n  i    ∈   A    $ x_{ni}\in \mathbb{A} $    are the nonrandom design points andA    $ \mathbb{A} $    is a compact set of ℝ  m   for some  m =1,  g  (·) is a real valued function defined onA    $ \mathbb{A} $   , and  ε   n 1 , ⋅,  ε   nn   are zero mean  φ -mixing random errors with finite moment of 2+ δ  order for some  δ &gt;0. Under some general conditions, we obtain the uniformly asymptotic normality of the weighted estimator of  g  (·). The rate of Berry-Esseen bound can approximate  O ( n  −1/4 ) under some appropriate conditions. The validity of the main results is partially illustrated via a numerical simulation.

Uniformly asymptotic normality of the weighted estimator in nonparametric regression model with φ-mixing errors