عنوان

Euclidean design theory /

(Number (ISBN

9789811380754

(Number (ISBN

9811380759

Erroneous ISBN

9789811380747

Title Proper

Euclidean design theory /

General Material Designation

[Book]

First Statement of Responsibility

Masanori Sawa, Masatake Hirao and Sanpei Kageyama.

Place of Publication, Distribution, etc.

Singapore :

Name of Publisher, Distributor, etc.

Springer,

Date of Publication, Distribution, etc.

[2019]

Date of Publication, Distribution, etc.

©2019

Specific Material Designation and Extent of Item

1 online resource

Series Title

SpringerBriefs in statistics. JSS research series in statistics

Text of Note

Includes bibliographical references and index.

Text of 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.

0

Text of 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.

Source for Acquisition/Subscription Address

Springer Nature

Stock Number

com.springer.onix.9789811380754

Mathematical statistics.

Mathematical statistics.

Number

Edition

Class number

Book number

Sawa, Masanori

Hirao, Masatake

Kageyama, Sanpei,1945-

Date of Transaction

20200823231044.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y