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  3. Sandsynlighedsregning og statistik

Euclidean Design Theory

Af: Sanpei Kageyama, Masatake Hirao, Masanori Sawa Engelsk Paperback

Euclidean Design Theory

Af: Sanpei Kageyama, Masatake Hirao, Masanori Sawa Engelsk Paperback
Tjek vores konkurrenters priser

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.


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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.


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Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 134
ISBN-13: 9789811380747
Indbinding: Paperback
Udgave:
ISBN-10: 9811380740
Kategori: Sandsynlighedsregning og statistik
Udg. Dato: 7 okt 2019
Længde: 0mm
Bredde: 155mm
Højde: 235mm
Forlag: Springer Verlag, Singapore
Oplagsdato: 7 okt 2019
Forfatter(e): Sanpei Kageyama, Masatake Hirao, Masanori Sawa
Forfatter(e) Sanpei Kageyama, Masatake Hirao, Masanori Sawa

Kategori Sandsynlighedsregning og statistik

ISBN-13 9789811380747

Sprog Engelsk

Indbinding Paperback

Sider 134

Udgave

Længde 0mm

Bredde 155mm

Højde 235mm

Udg. Dato 7 okt 2019

Oplagsdato 7 okt 2019

Forlag Springer Verlag, Singapore

Kategori sammenhænge