Asymptotic optimality of periodic spline interpolation in non-parametric regression

DOI10.1080/15598608.2008.10411887zbMath1211.62063OpenAlexW1980239613MaRDI QIDQ715786

Jaerin Cho, B. Ya. Levit

Publication date: 18 April 2011

Published in: Journal of Statistical Theory and Practice (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/15598608.2008.10411887

zbMATH Keywords

Sobolev classesnon-parametric estimationanalytic functional classesperiodic Lagrange spline

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Numerical computation using splines (65D07) Asymptotic properties of nonparametric inference (62G20)

Related Items (2)

On optimal cardinal interpolation ⋮ Some new perspectives in best approximation and interpolation of random data

Cites Work

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• Efficient estimation of multivariate analytic functions in cube-like domains
• Cardinal splines in nonparametric regression
• A simple approach to cardinal Lagrange and periodic Lagrange splines
• On a minimal property of cardinal and periodic Lagrange splines
• An extension of a bound for functions in Sobolev spaces, with applications to \((m, s)\)-spline interpolation and smoothing
• On the Cardinal Spline Interpolant to $e^{iut} $

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