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What are variates?

What are variates? Here are some definitions.

Noun
  1. plural of variate
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The projections, or linear combinations, of the p-dimensional data points are termed the canonical variates hereafter.
An important consequence of these three points is that the information has to be concentrated in a small number of patterns or variates.
With canonical correlation, if there are two negative coefficients across the two variates, that means they co-align.
Only the first pair of canonical variates accounted for the significant relation between the two sets of variables.
Hence, this study standardized all cluster variates to a mean of zero and standard deviation of one.
Specifically, we fit stable Paretian distributions to the residuals for some important macro-economic variates testing the null hypothesis of finite moments.

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