V. Ya. Katkovnik, “Convergence of linear and nonlinear nonparametric estimates of the “kernel” type”, Avtomat. i Telemekh., 1983, Issue 4,Pages <nobr>108

Adaptive Systems

Convergence of linear and nonlinear nonparametric estimates of the “kernel” type

V. Ya. Katkovnik

Leningrad

Abstract: For a wide range of linear and nonlinear nonparametric estimates of the regression function sufficient conditions are formulated of pointwise mean square convergence and convergence with probability of one. Conditions are given for pointwise convergence with a probability of one of nonparametric Parsen estimates for a probability density.

UDC: 519.2

Received: 08.09.1981