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A leading multivariate extension of the univariate quantiles is the so-called " spatial " or " geometric " notion, for which sample versions are highly robust and conveniently satisfy a Bahadur-Kiefer representation. Another extension of univariate quantiles has been to univariate U-quantiles, on the basis of which, for example, the well-known(More)
BACKGROUND Malignant brain cancer persists as a major disease of morbidity and mortality in adults and is the second leading cause of cancer death in children. Many current therapies for malignant brain tumors fail to provide long-term management because they ineffectively target tumor cells while negatively impacting the health and vitality of normal brain(More)
We present a bioinformatic web server (SWAKK) for detecting amino acid sites or regions of a protein under positive selection. It estimates the ratio of non-synonymous to synonymous substitution rates (K(A)/K(S)) between a pair of protein-coding DNA sequences, by sliding a 3D window, or sphere, across one reference structure. The program displays the(More)
Collaborative engineering is knowledge work in the sense that engineers and managers must apply their knowledge to solve their problems, and proceed with their work. The knowledge that is applied spans from the basic knowledge they learned from schools, application knowledge acquired from the industry, and experiential knowledge obtained from years of(More)
One of the most important problems in product design using quality function deployment is how to capture true customer requirements. In this research, we develop systematic methods, processes, and techniques for eliciting complete, consistent, non-redundant, and true customer requirements from multiple perspectives. It covers from requirements acquisition,(More)
We consider an assembly system with multiple stages, multiple items, and multiple customer classes. The system consists of m production facilities, each producing a different item. Items are produced in variable batch sizes, one batch at a time, with exponentially distributed batch production times. Demand from each class takes place continuously over time(More)
Depth functions are increasingly being used in building nonparametric outlier detectors and in constructing useful nonparametric statistics such as depth-weighted L-statistics. Robust-ness of a depth function is an essential property for such applications. Here, robustness of three key depth functions, the spatial, simplicial, and generalized Tukey, is(More)
Authorization I hereby declare that I am the sole author of the thesis. I authorize the Hong Kong University of Science and Technology to lend this thesis to other institutions or individuals for the purpose of scholarly research. I further authorize the Hong Kong University of Science and Technology to reproduce the thesis by photocopying or by other(More)