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Complete consistency of estimators for regression models based on extended negatively dependent errors

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In this paper, we investigate the consistency of the estimators of nonparametric regression model and multiple linear regression model based on extended negatively dependent errors. The complete convergence rates of… Click to show full abstract

In this paper, we investigate the consistency of the estimators of nonparametric regression model and multiple linear regression model based on extended negatively dependent errors. The complete convergence rates of the estimators of nonparametric regression model are presented. In addition, the rth-mean consistency and complete consistency of the least squares estimator of the multiple linear regression model are obtained too. Finally, some examples and some simulations are illustrated.

Keywords: extended negatively; regression model; consistency; consistency estimators; negatively dependent; based extended

Journal Title: Statistical Papers
Year Published: 2018

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