MultivariateStatistics`

MultivariateStatistics`

Ellipsoid

Ellipsoid[{x₁,…,x_p},{r₁,…,r_p}]

represents a p-dimensional ellipsoid centered at the point {x₁,…,x_p} with semi-axis radii r_i aligned with the coordinate axes.

Ellipsoid[{x₁,…,x_p},{r₁,…,r_p},{d₁,…,d_p}]

represents a p-dimensional ellipsoid with semi-axis radii r_i aligned with the direction d_i.

Details and Options

To use Ellipsoid, you first need to load the Multivariate Statistics Package. You can do this by using Needs["MultivariateStatistics`"].
Ellipsoid is used to represent ellipsoidal regions such as EllipsoidQuantile and EllipsoidQuartiles.
Two-dimensional Ellipsoid objects can be plotted using Graphics.
If the direction matrix {d₁,…,d_p} is a permutation of the identity matrix, the direction matrix is automatically dropped, reordering the radii if necessary.

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