Sanpei Kageyama's Books

Euclidean Design Theory

By: Masanori Sawa,Masatake Hirao,Sanpei Kageyama

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Euclidean Design Theory

By: Masanori Sawa,Masatake Hirao,Sanpei Kageyama

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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Page Count

141

Publisher

Springer

Published Date

ISBN 10

9811380759

ISBN 13

9789811380754

Block Designs: A Randomization Approach

Volume II: Design

By: Tadeusz Calinski,Sanpei Kageyama

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Block Designs: A Randomization Approach

Volume II: Design

By: Tadeusz Calinski,Sanpei Kageyama

The book is composed of two volumes, each consisting of five chapters. In Vol ume I, following some statistical motivation based on a randomization model, a general theory of the analysis of experiments in block designs has been de veloped. In the present Volume II, the primary aim is to present methods of that satisfy the statistical requirements described in constructing block designs Volume I, particularly those considered in Chapters 3 and 4, and also to give some catalogues of plans of the designs. Thus, the constructional aspects are of predominant interest in Volume II, with a general consideration given in Chapter 6. The main design investigations are systematized by separating the material into two contents, depending on whether the designs provide unit efficiency fac tors for some contrasts of treatment parameters (Chapter 7) or not (Chapter 8). This distinction in classifying block designs may be essential from a prac tical point of view. In general, classification of block designs, whether proper or not, is based here on efficiency balance (EB) in the sense of the new termi nology proposed in Section 4. 4 (see, in particular, Definition 4. 4. 2). Most of the attention is given to connected proper designs because of their statistical advantages as described in Volume I, particularly in Chapter 3. When all con trasts are of equal importance, either the class of (v - 1; 0; O)-EB designs, i. e.

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364

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Springer Science & Business Media

Published Date

ISBN 10

1441992464

ISBN 13

9781441992468

Euclidean Design Theory

By: Masanori Sawa,Masatake Hirao,Sanpei Kageyama

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Euclidean Design Theory

By: Masanori Sawa,Masatake Hirao,Sanpei Kageyama

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Solve jigsaw puzzle

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Page Count

141

Publisher

Springer

Published Date

ISBN 10

9811380759

ISBN 13

9789811380754

Block Designs: A Randomization Approach

Volume II: Design

By: Tadeusz Calinski,Sanpei Kageyama

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Block Designs: A Randomization Approach

Volume II: Design

By: Tadeusz Calinski,Sanpei Kageyama

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Page Count

364

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1441992464

ISBN 13

9781441992468

Block Designs: A Randomization Approach

Volume I: Analysis

By: Tadeusz Calinski,Sanpei Kageyama

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Block Designs: A Randomization Approach

Volume I: Analysis

By: Tadeusz Calinski,Sanpei Kageyama

This book will be of interest to mathematical statisticians and biometricians interested in block designs. The emphasis of the book is on the randomization approach to block designs. After presenting the general theory of analysis based on the randomization model in Part I, the constructional and combinatorial properties of design are described in Part II. The book includes many new or recently published materials.

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Page Count

332

Publisher

Boom Koninklijke Uitgevers

Published Date

ISBN 10

0387985786

ISBN 13

9780387985787

Book's by Sanpei Kageyama

Euclidean Design Theory

Euclidean Design Theory

Block Designs: A Randomization Approach

Block Designs: A Randomization Approach

Euclidean Design Theory

Euclidean Design Theory

Block Designs: A Randomization Approach

Block Designs: A Randomization Approach

Block Designs: A Randomization Approach

Block Designs: A Randomization Approach

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