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A note on the consistency of wavelet estimators in nonparametric regression model under widely orthant dependent random errors
- Source :
- Mathematica Slovaca. 69:1471-1484
- Publication Year :
- 2019
- Publisher :
- Walter de Gruyter GmbH, 2019.
-
Abstract
- In this paper, we consider the wavelet estimators of a nonparametric regression model based on widely orthant dependent random errors. The moment consistency and the completely consistency for wavelet estimators under some more mild moment conditions are investigated. The results obtained in the paper improve and extend the corresponding ones for dependent random variables. Finally, we provide a numerical simulation to verify the validity of our results.
Details
- ISSN :
- 13372211 and 01399918
- Volume :
- 69
- Database :
- OpenAIRE
- Journal :
- Mathematica Slovaca
- Accession number :
- edsair.doi...........1aa762d546b904afa89d865187f32812