Wavelet pointwise estimation of anisotropic regression function
For pointwise estimation of anisotropic regression function under strong mixing condition,a linear wavelet estimator was constructed by wavelet method,and the convergence rate over lp(1 ≤ p＜∞)pointwise error was discussed in B(s)(p),q(Rd).The re-sults of the research show that the conclusions under strong mixing conditions are closer to practical applications than the results when the samples are independent,and when the anisotropy index of space B(s)(p),q(Rd)is equal,the conclusion is consistent with the result in the isotropic Besov space.
万方数据
维普
