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Content available remote Complete f-moment convergence of moving average process and its application to nonparametric regression models
Yao Chi, Wang Rui, Chen Ling, Wang Xueyun
Probability and Mathematical Statistics
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2021
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Vol. 41, Fasc. 2
373--395
EN
In this paper, we establish a general result on complete f-moment convergence of the moving average process based on widely orthant dependent random variables, which generalizes some results in the literature. In addition, an application of complete consistency to nonparametric regression models is provided. Finally, we provide a numerical simulation to verify the validity of our theoretical results.
2
Content available remote Complete consistency for recursive probability density estimator of widely orthant dependent samples
Zhuansun Chenlu, Li Xiaoxin
Probability and Mathematical Statistics
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2019
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Vol. 39, Fasc. 1
127--138
EN
In this paper, we will study the recursive density estimators of the probability density function for widely orthant dependent (WOD) random variables. The complete consistency and complete convergence rate are established under some general conditions.
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