Strong consistency of wavelet estimators for errors-in-variables regression model

Huijun Guo () and Youming Liu ()
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Huijun Guo: Beijing University of Technology
Youming Liu: Beijing University of Technology

Annals of the Institute of Statistical Mathematics, 2017, vol. 69, issue 1, No 5, 144 pages

Abstract: Abstract This paper studies the strong consistency of some estimators for an errors-in-variables regression model. We first provide an extension of Meister’s theorem. Then, the same problem is dealt with under the Fourier-oscillating noises. Finally, we prove two strong consistency theorems for wavelet estimators corresponding to non-oscillating and Fourier-oscillating noises.

Keywords: Errors-in-variables; Fourier-oscillating noise; Regression function; Strong consistency; Wavelets (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1007/s10463-015-0529-6

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