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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.

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To use Ellipsoid, you first need to load the Regression Common Functions Package. You can do this by using Needs["MultivariateStatistics`"], which will automatically load the Regression Common Functions Package, or you can load the package directly by using Needs["RegressionCommon`"].

Elliposid 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.