Springer, 2020. — 384 p. — ISBN: 978-3-030-46161-4.
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.
Walking on the Road to the Statistical Pyramid
The Contribution to Experimental Designs by Kai-Tai Fang
From “Clothing Standard” to “Chemometrics”
A Review of Prof. Kai-Tai Fang’s Contribution to the Education, Promotion, and Advancement of Statistics in China
Is a Transformed Low Discrepancy Design Also Low Discrepancy?
The Construction of Optimal Design for Order-of-Addition Experiment via Threshold Accepting
Construction of Uniform Designs on Arbitrary Domains by Inverse Rosenblatt Transformation
Drug Combination Studies, Uniform Experimental Design and Extensions
Modified Robust Design Criteria for Poisson Mixed Models
Study of Central Composite Design and Orthogonal Array Composite Design
Uniform Design on Manifold
An Application of the Theory of Spherical Distributions in Multiple Mean Comparison
Estimating the Location Vector for Spherically Symmetric Distributions
On Equidistant Designs, Symmetries and Their Violations in Multivariate Models
Estimation of Covariance Matrix with ARMA Structure Through Quadratic Loss Function
Depth Importance in Precision Medicine (DIPM): A Tree and Forest Based Method
Bayesian Mixture Models with Weight-Dependent Component Priors
Cosine Similarity-Based Classifiers for Functional Data
Projection Test with Sparse Optimal Direction for High-Dimensional One Sample Mean Problem
Goodness-of-fit Tests for Correlated Bilateral Data from Multiple Groups
A Bilinear Reduced Rank Model
Simultaneous Multiple Change Points Estimation in Generalized Linear Models
Data-Based Priors for Bayesian Model Averaging
Quantile Regression with Gaussian Kernels