Interpolation and Extrapolation Optimal Designs V3 : Infinite Dimension Models

Celant (Autor)

Buch | Hardcover

2017
Iste Ltd (Verlag)
978-1-78630-055-3 (ISBN)

Infos

This comprehensive treatise proposes a unified approach, based on the interplay between on optimal designs for interpolation and extrapolation and the theory of the uniform approximation of functions. This self-contained book is intended for statisticians interested in the mathematical basis of optimal planning and for mathematicians interested in the applications of approximation theory. It covers topics developed over a century, unifies concepts and notation, and explores the main results and notions of this area of statistical inference; it states explicit methods for the construction of these designs.

Inhalt

Chapter 1 - Approximation of continuous functions in normed spaces Chapter 2 - Uniform approximation Chapter 3 - Constrained polynomial approximation Chapter 4 - Interpolation and extrapolation designs for the polynomial regression Chapter 5 - Optimal extrapolation design for the Chebyshev regression Chapter 6 - Optimal design for linear forms of the parameters in a Chebyshev regression Chapter 7 -An introduction to extrapolation problems based on observations on a collection of intervals Chapter 8 - Special topics and extensions Chapter 9 - Instability of the Lagrange interpolation scheme with respect to measurement errors

Produkt-Details

• Erscheinungsdatum: 05.05.2020
• Verlagsort: London
• Sprache: englisch
• Gewicht: 666 g
• Themenwelt: Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
• ISBN-10: 1-78630-055-9 / 1786300559
• ISBN-13: 978-1-78630-055-3 / 9781786300553
• Zustand: Neuware