Autori: Kou, Junke , Youming, Liu
Titolo: Wavelet regression estimations with strong mixing data
Periodico: Statistical methods & applications : Journal of the Italian Statistical Society
Anno: 2018 - Volume: 27 - Fascicolo: 4 - Pagina iniziale: 667 - Pagina finale: 688

Using a wavelet basis, we establish in this paper upper bounds of wavelet estimation on Lp(Rd) risk of regression functions with strong mixing data for 1≤p<∞. In contrast to the independent case, these upper bounds have different analytic formulae for p∈[1,2] and p∈(2,+∞). For p=2, it turns out that our result reduces to a theorem of Chaubey et al. (J Nonparametr Stat 25:53–71, 2013); and for d=1 and p=2, it becomes the corresponding


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SICI: 1618-2510(2018)27:4<667:WREWSM>2.0.ZU;2-M

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