Multivariate Gaussian Distribution

Calculates samples from a multivariate Gaussian distribution.
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Updated 18 May 2007

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Creates a number of samples from a specified number of dimensions and centers them around a given mean, and within a given covariance range. You might not find it very useful, but hey, I need something to do this so why not.

To use:
You need to generate 1000 samples from a 3 dimensional Gaussian distribution with a mean m = [4,5,6], and with a covariance sigma = [9 0 0;0 9 0;0 0 9].

Command line:
x=mgd(1000,3,m,sigma) or x=mgd(1000,3,m',sigma)
it doesn't matter if the mean is given as a row or column vector

x is a (1000x3) matrix of the where
where each row is the coordinates of that point in 3 space.

Cite As

Timothy Felty (2026). Multivariate Gaussian Distribution (https://uk.mathworks.com/matlabcentral/fileexchange/5984-multivariate-gaussian-distribution), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R12.1
Compatible with any release
Platform Compatibility
Windows macOS Linux
Acknowledgements

Inspired: Gaussian Random Samples Generation

Version Published Release Notes
1.0.0.0

Added some error checking that was lacking. Updated to gracefully handle the one sample issue. Updated the comments.