Stochastic Systems

Pointwise and uniform convergence almost surely of nonparametric regression estimates

M. O. Ioffe, V. Ya. Katkovnik

Leningrad

Abstract: For nonparametric regression estimates obtained by local approximation, nonimprovable conditions are provided that are imposed on the decreasing rate of the scaling parameter under which pointwise and uniform convergence is obtained almost surely.

UDC: 519.246.85


Received: 14.04.1988

 English version: Automation and Remote Control, 1989, 50:12, 1659–1667

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