Orthogonal Series Estimates of a Regression Function with Applications in System Identification

Leszek Rutkowski
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Leszek Rutkowski: Technical University of Częstochowa

A chapter in Probability and Statistical Inference, 1982, pp 343-347 from Springer

Abstract: Abstract Nonparametric estimates of a regression function — based on orthogonal series — are investigated in the case that the domain points are nonrandom. Sufficient conditions for the almost sure convergence of estimates are given. An application of nonparametric regression methodology to the problem of identifying of linear dynamic systems is presented.

Keywords: System Identification; Weighting Function; Function Fitting; Statistical Inference; Orthogonal Polynomial (search for similar items in EconPapers)
Date: 1982
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-009-7840-9_32

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DOI: 10.1007/978-94-009-7840-9_32

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