The paper studies a semiparametric regression model
Yi = Xiβ + g(Ti ) + ei , i = 1,2,L,n .
where Yi is censored on the right by another random variable Ci with known or unknown distribution G . Firstly, the wavelet estimators
of parameter β and nonparameter g(t) are given by wavelet smoothing and the synthetic data methods. Secondly, under general
conditions, the laws of the iterated logarithm for the wavelet estimators of parameter and strong uniform convergence rates for the
wavelet estimators of nonparameter are investigated. Lastly, the validity of method is illuminated by the simulation example.