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Interpolation and Extrapolation Optimal Designs : Thchebychev Regression (Vol 2) (Hardcover) (Giorgio
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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 for 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.