Adaptive wavelet estimator for nonparametric density deconvolution Academic Article uri icon

abstract

  • [The problem of estimating a density g based on a sample X1, X2,..., Xn from p = q * g is considered. Linear and nonlinear wavelet estimators based on Meyer-type wavelets are constructed. The estimators are asymptotically optimal and adaptive if g belongs to the Sobolev space H. Moreover, the estimators considered in this paper adjust automatically to the situation when g is supersmooth.]

published proceedings

  • The Annals of Statistics

author list (cited authors)

  • Pensky, M., & Vidakovic, B.

citation count

  • 148

complete list of authors

  • Pensky, Marianna||Vidakovic, Brani

publication date

  • December 1999