The Bivariate Normal Distribution

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The bivariate normal distribution is a distribution of a pair of variables whose conditional distributions are normal and that satisfy certain other technical conditions. The density function is a generalization of the familiar bell curve and graphs in three dimensions as a sort of bell-shaped hump. The parameters and are the means of the coordinate variables and , the parameters and are their standard deviations, and the parameter is the correlation between them.

Contributed by: Chris Boucher (March 2011)
Open content licensed under CC BY-NC-SA


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