均匀试验设计的理论和应用（英文版）
正版保障 假一赔十 可开发票
￥ 93.49 6.3折 ￥ 149 全新
库存28件
广东广州
认证卖家担保交易快速发货售后保障
作者方开泰,刘民千,覃红 等
出版社中国科技出版传媒股份有限公司
ISBN9787030591104
出版时间2016-12
装帧精装
开本其他
定价149元
货号9419488
上书时间2024-12-23
商品详情
- 品相描述：全新
- 商品描述
-
目录
1 Introduction
1.1 Experiments
1.1.1 Examples
1.1.2 Experimental Characteristics
1.1.3 Type of Experiments
1.2 Basic Terminologies Used
1.3 Statistical Models
1.3.1 Factorial Designs and ANOVA Models
1.3.2 Fractional Factorial Designs
1.3.3 Linear Regression Models
1.3.4 Nonparametric Regression Models
1.3.5 Robustness of Regression Models
1.4 Word-Length Pattern: Resolution and Minimum Aberration
1.4.1 Ordering
1.4.2 Defining Relation
1.4.3 Word-Length Pattern and Resolution
1.4.4 Minimum Aberration Criterion and Its Extension
1.5 Implementation of Uniform Designs for Multifactor Experiments
1.6 Applications of the Uniform Design
Exercises
References
2 Uniformity Criteria
2.1 Overall Mean Model
2.2 Star Discrepancy
2.2.1 Definition
2.2.2 Properties
2.3 Generalized L2-Discrepancy
2.3.1 Definition
2.3.2 Centered/_~-Discrepancy
2.3.3 Wrap-around L2-Discrepancy
2.3.4 Some Discussion on CD and WD
2.3.5 Mixture Discrepancy
2.4 Reproducing Kernel for Discrepancies
2.5 Discrepancies for Finite Numbers of Levels
2.5.1 Discrete Discrepancy
2.5.2 Lee Discrepancy
2.6 Lower Bounds of Discrepancies
2.6.1 Lower Bounds of the Centered Lz-Discrepancy
2.6.2 Lower Bounds of the Wrap-around Lz-Discrepancy
2.6.3 Lower Bounds of Mixture Discrepancy
2.6.4 Lower Bounds of Discrete Discrepancy
2.6.5 Lower Bounds of Lee Discrepancy
Exercises
References
3 Construction of Uniform Designs--Deterministic Methods
3.1 Uniform Design Tables
3.1.1 Background of Uniform Design Tables
3.1.2 One-Factor Uniform Designs
3.2 Uniform Designs with Multiple Factors
3.2.1 Complexity of the Construction
3.2.2 Remarks
3.3 Good Lattice Point Method and Its Modifications
3.3.1 Good Lattice Point Method
3.3.2 The Leave-One-Out glpm
3.3.3 Good Lattice Point with Power Generator
3.4 The Cutting Method
3.5 Linear Level Permutation Method
3.6 Combinatorial Construction Methods
3.6.1 Connection Between Uniform Designs and Uniformly Resolvable Designs
3.6.2 Construction Approaches via Combinatorics
3.6.3 Construction Approach via Saturated Orthogonal Arrays
3.6.4 Further Results
Exercises
References
4 Construction of Uniform Designs--Algorithmic Optimization Methods
4.1 Numerical Search for Uniform Designs
4.2 Threshold-Accepting Method
4.3 Construction Method Based on Quadratic Form
4.3.1 Quadratic Forms of Discrepancies
4.3.2 Complementary Design Theory
4.3.3 Optimal Frequency Vector
4.3.4 Integer Programming Problem Method
Exercises
References
5 Modeling Techniques
5.1 Basis Functions
5.1.1 Polynomial Regression Models
5.1.2 Spline Basis
5.1.3 Wavelets Basis
5.1.4 Radial Basis Functions
5.1.5 Selection of Variables
5.2 Modeling Techniques: Kriging Models
5.2.1 Models
5.2.2 Estimation
5.2.3 Maximum Likelihood Estimation
5.2.4 Parametric Empirical Kriging
5.2.5 Examples and Discussion
5.3 A Case Study on Environmental Data--Model Selection
Exercises
References
6 Connections Between Uniformity and Other Design Criteria
6.1 Uniformity and Isomorphism
6.2 Uniformity and Orthogonality
6.3 Uniformity and Confounding
6.4 Uniformity and Aberration
6.5 Projection Uniformity and Related Criteria
6.5.1 Projection Discrepancy Pattern and Related Criteria
6.5.2 Uniformity Pattern and Related Criteria
6.6 Majorization Framework
6.6.1 Based on Pairwise Coincidence Vector
6.6.2 Minimum Aberration Majorization
Exercises
References
7 Applications of Uniformity in Other Design Types
7.1 Uniformity in Block Designs
7.1.1 Uniformity in BIBDs
7.1.2 Uniformity in PRIBDs
7.1.3 Uniformity in POTBs
7.2 Uniformity in Supersaturated Designs
7.2.1 Uniformity in Two-Level SSDs
7.2.2 Uniformity in Mixed-Level SSDs
7.3 Uniformity in Sliced Latin Hypercube Designs
7.3.1 A Combined Uniformity Measure
7.3.2 Optimization Algorithms
7.3.3 Determination of the Weight
7.4 Uniformity Under Errors in the Level Values
Exercises
References
8 Uniform Design for Experiments with Mixtures
8.1 Introduction to Design with Mixture
8.1.1 Some Types of Designs with Mixtures
8.1.2 Criteria for Designs with Mixtures
8.2 Uniform Designs of Experiments with Mixtures
8.2.1 Discrepancy for Designs with Mixtures
8.2.2 Construction Methods for Uniform Mixture Design
8.2.3 Uniform Design with Restricted Mixtures
8.2.4 Uniform Design on Irregular region
8.3 Modeling Technique for Designs with Mixtures
Exercises
References
Subject Index
精彩内容
方开泰、刘民千、覃红、周永道编的《均匀试验设计的理论和应用(英文版)(精)》讲述了The book provides necessary knowledge for readers interested in developing thetheory of uniform experimental design. It discusses measures of uniformity, variousconstruction methods of uniform designs, modeling techniques, design and modelingfor experiments with mixtures, and the usefulness of the uniformity in block, factorialand supersaturated designs. Experimental design is an important branch of statistics with a long history, and isextremely useful in multi-factor experiments. Involving rich methodologies and vari-ous designs, it has played a key role in industry, technology, sciences and variousother fields. A design that chooses experimental points uniformly scattered on thedomain is known as uniform experimental design, and uniform experimental designcan be regarded as a fractional factorial design with model uncertainty, a space-fillingdesign for computer experiments, a robust design against the model specificaion, anda supersaturated design and can be applied to experiments with mixtures.
— 没有更多了 —
以下为对购买帮助不大的评价