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JOURNALS // Matematicheskie Trudy // Archive

Mat. Tr., 2023 Volume 26, Number 2, Pages 177–191 (Mi mt685)

This article is cited in 2 papers

An approach to constructing explicit estimators in nonlinear regression

Yu. Yu. Linke, I. S. Borisov

Sobolev Institute of Mathematics, Novosibirsk, 630090, Russia

Abstract: We consider the problem of constructing explicit consistent estimators of finite-dimensional parameters of nonlinear regression models using various nonparametric kernel estimators.

Key words: nonlinear regression, nonparametric regression, kernel estimators, uniform consistency, fixed regressors, random regressors.

UDC: 519.23

Received: 13.07.2023
Revised: 01.10.2023
Accepted: 05.10.2023

DOI: 10.33048/mattrudy.2023.26.209


 English version:
Siberian Advances in Mathematics, 2023, 33:4, 338–346


© Steklov Math. Inst. of RAS, 2025