","Mathematics is known for its resolute commitment to precision in definitions and statements. However, when words are pulled from the English language and given rigid mathematical definitions, the ...

Abstract: Karhunen-Loeve (K-L) transform yields a set of uncorrelated random variables from a set of correlated random variables of a data vector. However, K-L transform is computationally not ...

ABSTRACT: A continuous random variable is expanded as a sum of a sequence of uncorrelated random variables. These variables are principal dimensions in continuous scaling on a distance function, as an ...

A continuous random variable is expanded as a sum of a sequence of uncorrelated random variables. These variables are principal dimensions in continuous scaling on a distance function, as an extension ...

<p>We introduce a notion of median uncorrelation that is a natural extension of mean (linear) uncorrelation. A scalar random variable Y is median uncorrelated with a k-dimensional random vector X if ...

where y i is the ith observed response value, x i is the ith vector of explanatory values, and 's are uncorrelated random variables with zero mean and a common variance. If the form of the regression ...