Book ChapterDOI
Schur-Convex Discrimination of Designs Using Power and Exponential Kernels
Aijun Zhang
- pp 293-311
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The article was published on 2005-03-01. It has received 4 citations till now. The article focuses on the topics: Exponential function.read more
Citations
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Journal ArticleDOI
Majorization framework for balanced lattice designs
TL;DR: In this article, a general majorization framework for assessing balanced lattice designs is presented, which includes a stringent criterion of majorization via pairwise coincidences and flexible surrogates via convex functions.
Journal ArticleDOI
Dose and Sample Size Determination for Multi-Drug Combination Studies
TL;DR: In this article, the authors proposed a general method for dose and sample size determination for detecting departures from additivity of multiple drugs based on a semiparametric statistical model applicable to both in vivo and in vitro experiments.
Book ChapterDOI
Drug Combination Studies, Uniform Experimental Design and Extensions
Ming Tan,Hong-Bin Fang +1 more
TL;DR: This chapter will review some efficient experimental designs for drug combination studies especially those related to uniform measures and extensions using maximum entropy design, which are more effective than predicted from summing effects of individual drugs.
Journal ArticleDOI
Majorization framework for balanced lattice designs
TL;DR: In this paper, a general majorization framework for assessing balanced lattice designs is presented, which includes a stringent criterion of majorization via pairwise coincidences and flexible surrogates via convex functions.
References
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Book
Inequalities: Theory of Majorization and Its Applications
TL;DR: In this paper, Doubly Stochastic Matrices and Schur-Convex Functions are used to represent matrix functions in the context of matrix factorizations, compounds, direct products and M-matrices.
Journal ArticleDOI
The design and analysis of computer experiments
TL;DR: This paper presents a meta-modelling framework for estimating Output from Computer Experiments-Predicting Output from Training Data and Criteria Based Designs for computer Experiments.
Book
Experiments: Planning, Analysis, and Parameter Design Optimization
C. F. Jeff Wu,Michael S. Hamada +1 more
TL;DR: This book discusses Factorial and Fractional Factorial Experiments at Three Levels, Robust Parameter Design for Signal-Response Systems, and other Design and Analysis Techniques for Experiments for Improving Reliability.
Book
Orthogonal Arrays: Theory and Applications
TL;DR: The Rao Inequalities for Mixed Orthogonal Arrays., 9.2 The Rao InEqualities for mixed Orthogonic Arrays.- 9.4 Construction X4.- 10.1 Constructions Inspired by Coding Theory.
Journal ArticleDOI
Number-theoretic methods in statistics
Kai-Tang Fang,Yuan Wang +1 more
TL;DR: In this paper, a number-theoretic method for numerical evaluation of multiple integral in statistics is presented, and its applications in statistics are discussed. But this method is not suitable for the analysis of multivariate distributions.