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In Euclidean geometry, parallel lines L 1 and L 2 are equidistant to each others.

In Euclidean geometry, parallel lines L 1 and L 2 are equidistant to each others.

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Figure 2: In Euclidean geometry, parallel lines L 1 and L 2 are...
On information projections between multivariate elliptical and location-scale families
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  • Jan 2021
We study information projections with respect to statistical f-divergences between any two location-scale families. We consider a multivariate generalization of the location-scale families which includes the elliptical and the spherical subfamilies. By using the action of the multivariate location-scale group, we show how to reduce the calculation...
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... the location-scale densities bear some geometric similarity with parallel lines in Euclidean geometry which are equidistant as depicted in Figure 2. ...