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
Masanori Sawa
Cubature Formula Spherical Design Euclidean Design Optimal Design Reproducing Kernel
“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)