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On the rate of asymptotic normality of integral weighted kernel estimator in a non parametric regression model for φ-mixing random variables

Abstract. In this article, we study the convergence rate of asymptotic normality for the estimator in a non parametric regression model under φ-mixing random variables by using the blockwise technique.… Click to show full abstract

Abstract. In this article, we study the convergence rate of asymptotic normality for the estimator in a non parametric regression model under φ-mixing random variables by using the blockwise technique. With different choices of the parameters, the rates are shown as O(n−1/9) and O(n−1/6). We also carry out some simulation studies and a real data analysis to support the theoretical results established here.

Keywords: parametric regression; estimator non; regression model; rate asymptotic; non parametric; asymptotic normality

Journal Title: Communications in Statistics - Theory and Methods
Year Published: 2024

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