A framework for measuring association of random vectors via collapsed random variables

A framework for quantifying dependence between random vectors is introduced. Using the notion of a collapsing function, random vectors are summarized by single random variables, referred to as collapsed random variables. Measures of association …

Visualizing dependence in high-dimensional data. An application to S&P 500 constituent data

Motivated by the use of high-dimensional data such as data from several hundred risk-factor changes in the realm of quantitative risk management, we raise the following simple question, namely, How can one detect and visualize dependence in high-dimensional data?


The picture of probability