10.3 Reparameterization

A useful step in multivariate volatility modeling is to reparameterize inline by making use of its symmetric property. We consider two reparameterizations.

10.3.1 Use of Correlations

The first reparameterization of inline is to use the conditional correlation coefficients and variances of inline. Specifically, we write inline as

10.7 10.7

where inline is the conditional correlation matrix of inline, and inline is a k × k diagonal matrix consisting of the conditional standard deviations of elements of inline (i.e., inline).

Because ...

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