【摘要】 用小波方法对未知密度f(x)进行估计 ,并在某些假定下建立了一种估计量的L1-模强相合性 ,以及在某些限制下 ,弱相合与强相合的等价性 .顺便也给出L1-相合的一个必要条件 .更多还原

【Abstract】 In this paper, we estimate an unknown density f(x) with wavelet methods, and establish the strong convergence of the estimator in L 1 -norm under some hypotheses; also we give the equivalence between the weak convergence and strong convergence under some restrictions. We incidentally give a necessary condition of the L 1 -convergence.更多还原