Adaptive density estimation for directional data using needlets
暂无分享,去创建一个
P. Baldi | D. Picard | G. Kerkyacharian | G. Kerkyacharian | D. Picard | P. Baldi | D. Marinucci | D. Marinucci
[1] P. Hall,et al. Kernel density estimation with spherical data , 1987 .
[2] P. Baldi,et al. Asymptotics for spherical needlets , 2006, math/0606599.
[3] Jussi Klemelä. Lower bounds for the asymptotic minimax risk with spherical data , 2003 .
[4] P. Jupp. Data-driven Sobolev tests of uniformity on compact Riemannian manifolds , 2008, 0806.2939.
[5] Pencho Petrushev,et al. Needlet algorithms for estimation in inverse problems , 2007, 0705.0274.
[6] A. Tsybakov,et al. Introduction à l'estimation non-paramétrique , 2003 .
[7] F. Ruymgaart. Strong uniform convergence of density estimators on spheres , 1989 .
[8] F. Ruymgaart,et al. Strong uniform convergence of density estimators on compact Euclidean manifolds , 1993 .
[9] Jussi Klemelä. Asymptotic Minimax Risk for the White Noise Model on the Sphere , 1999 .
[10] I. Johnstone,et al. Density estimation by wavelet thresholding , 1996 .
[11] P. Baldi,et al. Subsampling needlet coefficients on the sphere , 2007, 0706.4169.
[12] Pencho Petrushev,et al. Localized Tight Frames on Spheres , 2006, SIAM J. Math. Anal..
[13] Jussi Klemelä,et al. Estimation of Densities and Derivatives of Densities with Directional Data , 2000 .
[14] Bruno Pelletier. Kernel density estimation on Riemannian manifolds , 2005 .
[15] Harrie Hendriks,et al. Application of fast spherical Fourier transform to density estimation , 2003 .
[16] Kanti V. Mardia,et al. Statistics of Directional Data , 1972 .
[17] Dennis M. Healy,et al. An empirical Bayes approach to directional data and efficient computation on the sphere , 1996 .
[18] Pencho Petrushev,et al. Decomposition of Besov and Triebel–Lizorkin spaces on the sphere , 2006 .