Description:
Covers the constructions of optimal experimental designs comprehensively
Provides a novel framework for understanding optimal designs, based on the theory of cubature formulas in analysis and spherical/Euclidean designs in combinatorics
Presents a fresh approach for introducing the theory of the cubature formula with reproducing kernel Hilbert space in functional analysis
Review Quotes:
"This book can be used in a PhD course for mathematicians or statisticians with a solid background in numerical analysis, and can be used as a reference for researchers who need to use Euclidean designs or cubature formulae or both." (Fabio Rapallo, Mathematical Reviews, October, 2020)