Wiley Interpolation and Extrapolation Optimal Designs 1: Polynomial Regression and Approximation Theory (Mathematics and Statistics, 1)

Review "it seems that the book deserves more attention than a typical textbook, due to its particular features. Firstly, the authors are active researchers in the eld. Secondly, they concentrate mainly on characterizing optimal designs analytically. Both in the book and in their research, they put emphasis on optimal experiment design for function approximation or interpolation from observations with random errors"...."The book is rigorously written and it will be useful not only for advanced teaching, but also as a good starting point for further research" Ewaryst Rafaj lowicz, Mathematical Reviews, Sept 2017 Product Description 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. From the Inside Flap 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. From the Back Cover 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. About the Author 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.