Theory and Application of Uniform Experimental Designs
Theory and Application of Uniform Experimental Designs

Author: Kai-Tai Fang

Publisher: Springer

Published: 2018-10-02

Total Pages: 312

ISBN-13: 9811320411

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The book provides necessary knowledge for readers interested in developing the theory of uniform experimental design. It discusses measures of uniformity, various construction methods of uniform designs, modeling techniques, design and modeling for experiments with mixtures, and the usefulness of the uniformity in block, factorial and supersaturated designs. Experimental design is an important branch of statistics with a long history, and is extremely useful in multi-factor experiments. Involving rich methodologies and various designs, it has played a key role in industry, technology, sciences and various other fields. A design that chooses experimental points uniformly scattered on the domain is known as uniform experimental design, and uniform experimental design can be regarded as a fractional factorial design with model uncertainty, a space-filling design for computer experiments, a robust design against the model specification, and a supersaturated design and can be applied to experiments with mixtures.

Design and Modeling for Computer Experiments
Design and Modeling for Computer Experiments

Author: Kai-Tai Fang

Publisher: CRC Press

Published: 2005-10-14

Total Pages: 304

ISBN-13: 1420034898

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Computer simulations based on mathematical models have become ubiquitous across the engineering disciplines and throughout the physical sciences. Successful use of a simulation model, however, requires careful interrogation of the model through systematic computer experiments. While specific theoretical/mathematical examinations of computer experim

Computer Experiments [electronic Resource]
Computer Experiments [electronic Resource]

Author: Zhiguang Qian

Publisher:

Published: 2006

Total Pages:

ISBN-13:

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The use of computer modeling is fast increasing in almost every scientific, engineering and business arena. This dissertation investigates some challenging issues in design, modeling and analysis of computer experiments, which will consist of four major parts. In the first part, a new approach is developed to combine data from approximate and detailed simulations to build a surrogate model based on some stochastic models. In the second part, we propose some Bayesian hierarchical Gaussian process models to integrate data from different types of experiments. The third part concerns the development of latent variable models for computer experiments with multivariate response with application to data center temperature modeling. The last chapter is devoted to the development of nested space-filling designs for multiple experiments with different levels of accuracy.

Contemporary Experimental Design, Multivariate Analysis and Data Mining
Contemporary Experimental Design, Multivariate Analysis and Data Mining

Author: Jianqing Fan

Publisher: Springer Nature

Published: 2020-05-22

Total Pages: 384

ISBN-13: 3030461610

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The collection and analysis of data play an important role in many fields of science and technology, such as computational biology, quantitative finance, information engineering, machine learning, neuroscience, medicine, and the social sciences. Especially in the era of big data, researchers can easily collect data characterised by massive dimensions and complexity. In celebration of Professor Kai-Tai Fang’s 80th birthday, we present this book, which furthers new and exciting developments in modern statistical theories, methods and applications. The book features four review papers on Professor Fang’s numerous contributions to the fields of experimental design, multivariate analysis, data mining and education. It also contains twenty research articles contributed by prominent and active figures in their fields. The articles cover a wide range of important topics such as experimental design, multivariate analysis, data mining, hypothesis testing and statistical models.

NASA SP-7500
NASA SP-7500

Author: United States. National Aeronautics and Space Administration

Publisher:

Published: 1982

Total Pages: 814

ISBN-13:

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Scientific Computing with Case Studies
Scientific Computing with Case Studies

Author: Dianne P. O'Leary

Publisher: SIAM

Published: 2009-03-19

Total Pages: 376

ISBN-13: 0898716667

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This book is a practical guide to the numerical solution of linear and nonlinear equations, differential equations, optimization problems, and eigenvalue problems. It treats standard problems and introduces important variants such as sparse systems, differential-algebraic equations, constrained optimization, Monte Carlo simulations, and parametric studies. Stability and error analysis are emphasized, and the Matlab algorithms are grounded in sound principles of software design and understanding of machine arithmetic and memory management. Nineteen case studies provide experience in mathematical modeling and algorithm design, motivated by problems in physics, engineering, epidemiology, chemistry, and biology. The topics included go well beyond the standard first-course syllabus, introducing important problems such as differential-algebraic equations and conic optimization problems, and important solution techniques such as continuation methods. The case studies cover a wide variety of fascinating applications, from modeling the spread of an epidemic to determining truss configurations.