Nonparametric estimation of a linear functional of the regression function for a given observation design
type: Item
instance of: scholarly article
title: Nonparametric estimation of a linear functional of the regression function for a given observation design
zbMATH Open document ID: 0675.62032
author: Yu. I. Pastukhova
author: R. Z. Khas'minskiĭ
published in: Problems of Information Transmission
publication date: 1988-01-01T00:00:00Z
review text: The authors consider the problem of nonparametric estimation for a linear functional of regression when \((t_ 1,t_ 2,...,t_ n)\) represent given observations so that \(t_ 1,t_ 2,...,t_ n\) are independent variables with the same known probability density. A lower bound on the estimation accuracy is found and an estimator achieving this bound asymptotically is constructed.
Mathematics Subject Classification ID: 62G05
zbMATH DE Number: 4106053
zbMATH Keywords: nonparametric regression
zbMATH Keywords: linear functional of regression
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4106053