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Wavelet regression estimations with strong mixing data

Author

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  • Junke Kou

    (Beijing University of Technology)

  • Youming Liu

    (Beijing University of Technology)

Abstract

Using a wavelet basis, we establish in this paper upper bounds of wavelet estimation on $$ L^{p}({\mathbb {R}}^{d}) $$ L p ( R d ) risk of regression functions with strong mixing data for $$ 1\le p

Suggested Citation

  • Junke Kou & Youming Liu, 2018. "Wavelet regression estimations with strong mixing data," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 27(4), pages 667-688, December.
    • Handle: RePEc:spr:stmapp:v:27:y:2018:i:4:d:10.1007_s10260-018-00430-0
    DOI: 10.1007/s10260-018-00430-0
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    References listed on IDEAS

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    1. Mokkadem, Abdelkader, 1988. "Mixing properties of ARMA processes," Stochastic Processes and their Applications, Elsevier, vol. 29(2), pages 309-315, September.
    2. Kou, Junke & Liu, Youming, 2016. "An extension of Chesneau’s theorem," Statistics & Probability Letters, Elsevier, vol. 108(C), pages 23-32.
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    5. Chesneau, Christophe & Fadili, Jalal & Maillot, Bertrand, 2015. "Adaptive estimation of an additive regression function from weakly dependent data," Journal of Multivariate Analysis, Elsevier, vol. 133(C), pages 77-94.
    6. Liebscher E., 2001. "Estimation Of The Density And The Regression Function Under Mixing Conditions," Statistics & Risk Modeling, De Gruyter, vol. 19(1), pages 9-26, January.
    7. Christophe Chesneau & Esmaeil Shirazi, 2014. "Nonparametric Wavelet Regression Based on Biased Data," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 43(13), pages 2642-2658, July.
    8. Kim, Tae Yoon, 1993. "A note on moment bounds for strong mixing sequences," Statistics & Probability Letters, Elsevier, vol. 16(2), pages 163-168, January.
    9. Liebscher, Eckhard, 1996. "Strong convergence of sums of [alpha]-mixing random variables with applications to density estimation," Stochastic Processes and their Applications, Elsevier, vol. 65(1), pages 69-80, December.
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