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MathGroup Archive 2006

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Re: how to visualize 3+D normal density contour?

  • To: mathgroup at
  • Subject: [mg64187] Re: [mg64152] how to visualize 3+D normal density contour?
  • From: Darren Glosemeyer <darreng at>
  • Date: Sat, 4 Feb 2006 04:13:42 -0500 (EST)
  • Sender: owner-wri-mathgroup at

An EllipsoidQuantile can be used to visualize one surface.

<< Statistics`MultinormalDistribution`

dist = MultinormalDistribution[{0, 0, 0}, {{1, .5, .5}, {.5,
       1, .5}, {.5, .5, 1}}, x];

Show[Graphics3D[EllipsoidQuantile[dist, .5]], Axes -> True]

To visualize more than one at a time, the surfaces would need to be sliced 
in some way to see the inner surfaces.

     EllipsoidQuantile[dist, q]], {q, .1, .9, .2}], Axes -> True, PlotRange 
-> {All, {0, 3}, All}]

Darren Glosemeyer
Wolfram Research

At 07:09 PM 2/2/2006 -0500, gino wrote:
>Hi all,
>How do I visualize a contour of a tri-variate normal distribution?
>I just like to see the ellipsoid very much. I hope there is a easy way or
>existing method.
>Thank you a lot!

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