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Strong consistency of non parametric kernel regression estimator for strong mixing samples

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ABSTRACT For α-mixing samples, we study Priestley–Chao kernel estimator for non parametric regression model. By using the moment inequality and the exponential inequality, the strong consistency and the uniformly strong… Click to show full abstract

ABSTRACT For α-mixing samples, we study Priestley–Chao kernel estimator for non parametric regression model. By using the moment inequality and the exponential inequality, the strong consistency and the uniformly strong consistency of the estimator are obtained for some weak conditions.

Keywords: strong consistency; mixing samples; estimator; non parametric

Journal Title: Communications in Statistics - Theory and Methods
Year Published: 2017

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