Name
Abstract | ||
|---|---|---|
By using biorthogonal wavelets, Reynaud-Bouret, Rivoirard and Tuleau-Malot provide the adaptive and optimal L-2-risk estimation for density functions (not necessarily having compact support) in a Besov space B-r,q(s)(R) [P. Reynaud-Bouret, V. Rivoirard and C. Tuleau-Malot, Adaptive density estimation: A curse of support?, J. Stat. Plan. Inference 141(1) (2011) 115-139]. The authors pose an open problem: Can L-P-risk (1 <= p < infinity) estimation be given in their setting? In this paper, we try to solve that problem for p is an element of vertical bar 2, +infinity) by using wavelet estimators. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.1142/S0219691318500388 | INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING |
Keywords | Field | DocType |
Wavelet, density estimation, L-P-risk, Besov space | Mathematical optimization,Mathematics,Calculus | Journal |
Volume | Issue | ISSN |
16 | 5 | 0219-6913 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Kaikai Cao | 1 | 0 | 0.34 |
| Youming Liu | 2 | 7 | 2.68 |