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

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

```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.

Show[Table[Graphics3D[
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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