Consistency for wavelet estimator in nonparametric regression model with extended negatively dependent samples

Liwang Ding (), Ping Chen and Yongming Li
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Liwang Ding: Nanjing University of Science and Technology
Ping Chen: Nanjing University of Science and Technology
Yongming Li: Shanghai University of Finance and Economics

Statistical Papers, 2020, vol. 61, issue 6, No 5, 2349 pages

Abstract: Abstract In this article, we mainly study the consistency properties of wavelet estimator in nonparametric regression model with extended negatively dependent samples. Under some suitable conditions, the pth mean consistency, complete consistency and complete consistency rates of the wavelet estimator in nonparametric regression model with extended negatively dependent samples are obtained. Our results generalize or improve the corresponding ones and the wavelet estimator method for independent and mixing dependent samples to some extent.

Keywords: Extended negatively dependent samples; Wavelet estimator; Consistency; Regression model; 62G05; 62G08 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s00362-018-1050-9

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