Some new perspectives in best approximation and interpolation of random data

DOI10.3103/S1066530713030010zbMath1294.62169OpenAlexW2022164435MaRDI QIDQ382735

B. Ya. Levit

Publication date: 21 November 2013

Published in: Mathematical Methods of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066530713030010

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Optimal statistical designs (62K05) Approximation by rational functions (41A20) Approximation by polynomials (41A10) Elliptic functions and integrals (33E05)

Related Items (4)

On minimax cardinal spline interpolation ⋮ On optimal cardinal interpolation ⋮ Optimal methods of interpolation in nonparametric regression ⋮ Variance-optimal data approximation using the Abel-Jacobi functions

Cites Work

• Asymptotic optimality of periodic spline interpolation in non-parametric regression
• Cardinal splines in nonparametric regression
• On a minimal property of cardinal and periodic Lagrange splines
• Optimal designs for large degree polynomial regression
• \(E\)-optimal designs for rational models
• Adaptive minimax estimation of infinitely differentiable functions.
• Minimax revisited. I
• Rational approximation to \(|x|\)
• The Equivalence of Two Extremum Problems
• Rational Regression Models with Continuous Chebyshev Design
• Extended Application of Alternating Direction Implicit Iteration Model Problem Theory
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