In this paper, we discuss the global L2 error of the nonlinear wavelet estimators of the density function in the Besov space Bpqs, when the survival times form a stationary α-mixing sequence, and prove that the nonlinear wavelet estimators can achieve the optimal rate of convergence, which is similar to the result of Donoho et al...
Keywords: nonlinear wavelet estimator, right censoring, density estimator, hazard rate estimator, alpha-mixing sequence
03/2005 | Statistics & Decisions, Oldenbourg Wissenschaftsverlag