V. G. Ushakov, N. G. Ushakov, “Deconvolution under partially known error distribution”, Inform. Primen., 2011, Volume 5, Issue 4,Pages <nobr>36

Deconvolution under partially known error distribution

V. G. Ushakov^ab, N. G. Ushakov^c

^a M. V. Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
^b Institute for Problems of Informatics of RAS
^c Institute of Microelectronics Technology and High Purity Materials, Russian Academy of Sciences

Abstract: The problem of nonparametric estimation of a probability distribution is considered for a case when the sample is contaminated by a random noise. It is supposed that the distribution of the error is known only partially. Identifiability and consistent estimation are investigated.

Keywords: nonparametric estimation; deconvolution.