Interpolation and Extrapolation Optimal Designs : Polynomial Regression and Approximation Theory

This book is the first of a series which focuses on the interpolation and extrapolation of optimal designs, an area with significant applications in engineering, physics, chemistry and most experimental fields.

In this volume, the authors emphasize the importance of problems associated with the construction of design. After a brief introduction on how the theory of optimal designs meets the theory of the uniform approximation of functions, the authors introduce the basic elements to design planning and link the statistical theory of optimal design and the theory of the uniform approximation of functions.

The appendices provide the reader with material to accompany the proofs discussed throughout the book.

Giorgio Celant is Associate Professor in the Department of Statistical Sciences at the University of Padua in Italy.

Michel Broniatowski is Full Professor in Theoretical and Applied Statistics at University Pierre and Marie Curie in Paris, France, and Vice-Chairman of the Statistics Department.