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Catalogue Information
Field name	Details
Dewey Class	519.5
Title	Euclidean Design Theory ([EBook]) / by Masanori Sawa, Masatake Hirao, Sanpei Kageyama.
Author	Sawa, Masanori
Added Personal Name	Hirao, Masatake
Added Personal Name	Kageyama, Sanpei
Other name(s)	SpringerLink (Online service)
Publication	Singapore : Springer Singapore , 2019.
Physical Details	VIII, 134 pages, 14 illus., 12 illus. in color. : online resource.
Series	JSS Research Series in Statistics
ISBN	9789811380754
Summary Note	This book is the modern first treatment of experimental designs, providing a comprehensive introduction to the interrelationship between the theory of optimal designs and the theory of cubature formulas in numerical analysis. It also offers original new ideas for constructing optimal designs. The book opens with some basics on reproducing kernels, and builds up to more advanced topics, including bounds for the number of cubature formula points, equivalence theorems for statistical optimalities, and the Sobolev Theorem for the cubature formula. It concludes with a functional analytic generalization of the above classical results. Although it is intended for readers who are interested in recent advances in the construction theory of optimal experimental designs, the book is also useful for researchers seeking rich interactions between optimal experimental designs and various mathematical subjects such as spherical designs in combinatorics and cubature formulas in numerical analysis, both closely related to embeddings of classical finite-dimensional Banach spaces in functional analysis and Hilbert identities in elementary number theory. Moreover, it provides a novel communication platform for “design theorists” in a wide variety of research fields.:
Contents note	Chapter I: Reproducing Kernel Hilbert Space -- Chapter II: Cubature Formula -- Chapter III: Optimal Euclidean Design -- Chapter IV: Constructions of Optimal Euclidean Design -- Chapter V: Euclidean Design Theory.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	https://doi.org/10.1007/978-981-13-8075-4
Links to Related Works	Subject References: Statistical Theory and Methods . Statistics . Statistics and Computing/Statistics Programs . Statistics for Business, Management, Economics, Finance, Insurance . Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences . Authors: author . Hirao, Masatake . Kageyama, Sanpei . Sawa, Masanori . Corporate Authors: SpringerLink (Online service) . Series: JSS Research Series in Statistics . Classification: 519.5 . 519.5 (DDC 23) .

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Euclidean Design Theory

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