I. A. Ibragimov, “Low bounds for risk functions in non-parametric estimation problems”, Zap. Nauchn. Sem. POMI, 2011, Volume 396,Pages <nobr>102

This article is cited in 2 papers

Low bounds for risk functions in non-parametric estimation problems

I. A. Ibragimov^ab

^a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences, St. Petersburg, Russia
^b St. Petersburg State University, St. Petersburg, Russia

Abstract: The authors of the paper [1] have established some general minimax low bounds of risk functions for probability densities estimates, Here analogous results are proved for some other non-parametric estimation problems.

Key words and phrases: non-parametric estimation problems, Gaussian white noise, Poisson process.

UDC: 519.2

Received: 23.11.2011