عنوان

Euclidean design theory /

شابک

9789811380754

شابک

9811380759

شابک اشتباه

9789811380747

عنوان اصلي

Euclidean design theory /

نام عام مواد

[Book]

نام نخستين پديدآور

Masanori Sawa, Masatake Hirao and Sanpei Kageyama.

محل نشرو پخش و غیره

Singapore :

نام ناشر، پخش کننده و غيره

Springer,

تاریخ نشرو بخش و غیره

[2019]

تاریخ نشرو بخش و غیره

©2019

نام خاص و کميت اثر

1 online resource

عنوان فروست

SpringerBriefs in statistics. JSS research series in statistics

متن يادداشت

Includes bibliographical references and index.

متن يادداشت

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.

بدون عنوان

0

متن يادداشت

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.

منبع سفارش / آدرس اشتراک

Springer Nature

شماره انبار

com.springer.onix.9789811380754

موضوع مستند نشده

Mathematical statistics.

موضوع مستند نشده

Mathematical statistics.

شماره

ويراست

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Sawa, Masanori

مستند نام اشخاص تاييد نشده

Hirao, Masatake

مستند نام اشخاص تاييد نشده

Kageyama, Sanpei,1945-

تاريخ عمليات

20200823231044.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y