Wavelet estimation for samples with random uniform design

Statistics and Probability Letters

Volumn 42, Issue 3, 1999, Pages 313-321

  Cai, T Tony ^a   Brown, Lawrence D ^b  

^a PURDUE UNIVERSITY   (United States)

^b NONE

Author keywords

Adaptivity; H lder class; Minimax; Nonparametric regression; Primary 62G07; Secondary 62G20; Wavelets

Indexed keywords

EID: 0038713896     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-7152(98)00223-5     Document Type: Article

References (8)

1. Cai, T., Brown, L.D., 1997. Wavelet regression for random uniform design. Technical Report #97-15, Department of Statistics, Purdue University.
2. Cai, T., Brown, L.D., 1998. Wavelet shrinkage for nonequispaced samples. Ann. Statist., in press.
3. Cai, T., 1996. Nonparametric function estimation via wavelets. Ph.D Thesis, Cornell University.
4. Daubechies, I., 1992. Ten Lectures on Wavelets. SIAM, Philadelphia.
5. Donoho D.L., Johnstone I.M. Ideal spatial adaptation via wavelet shrinkage. Biometrika. 81:1994;425-455.
6. Donoho D.L., Johnstone I.M., Kerkyacharian G., Picard D. Wavelet shrinkage: asymptopia? J. Roy. Stat. Soc. Ser. B. 57:1995;301-369.
7. Hall P., Turlach B.A. Interpolation methods for nonlinear wavelet regression with irregularly spaced design. Ann. Statist. 25:1997;1912-1925.
8. Meyer, Y., 1990. Ondelettes et Opérateurs: I. Ondelettes. Hermann et Cie, Paris.