Autori:
Kou, Junke,
Youming, LiuTitolo:
Wavelet regression estimations with strong mixing dataPeriodico:
Statistical methods & applications : Journal of the Italian Statistical SocietyAnno:
2018 - Volume:
27 - Fascicolo:
4 - Pagina iniziale:
667 - Pagina finale:
688Using 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
SICI: 1618-2510(2018)27:4<667:WREWSM>2.0.ZU;2-M
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