The grand tour: a tool for viewing multidimensional data
SIAM Journal on Scientific and Statistical Computing
Construction of line densities for parallel coordinate plots
Computing and graphics in statistics
VisDB: Database Exploration Using Multidimensional Visualization
IEEE Computer Graphics and Applications
An Introduction to Copulas (Springer Series in Statistics)
An Introduction to Copulas (Springer Series in Statistics)
Topology and intelligent data analysis
Intelligent Data Analysis
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We introduce graphical tools to visualize the shape, the location, and the orientation of a multivariate data set. We define a tree structure among the observations, called a tail tree. A tail tree is a tree whose root node corresponds to a center point of the data, and whose branches correspond to the tails of the data. We visualize a tail tree with a tail tree plot. Visualizing the tree structure among the observations makes it feasible to detect features from the data. A tail tree may also be used to define and enhance other visualizations. We define a tail frequency plot which visualizes the empirical probabilities of the disconnected tails of the point cloud. A tail tree induces a segmentation of the data which may be used to enhance a grand tour, graphical matrices, and parallel coordinate plots. We apply tail tree plots in exploratory data analysis of financial data.