A Continuous Metric Scaling Solution for a Random Variable

C. M. Cuadras and J. Fortiana

Journal of Multivariate Analysis, 1995, vol. 52, issue 1, 1-14

Abstract: As a generalization of the classical metric scaling solution for a finite set of points, a countable set of uncorrelated random variables is obtained from an arbitary continuous random variable X. The properties of these variables allow us to regard them as principal axes for X with respect to the distance function d(u, v) = [formula]. Explicit results are obtained for uniform and negative exponential random variables.

Date: 1995
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