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Statistical Glossary

Bivariate Normal Distribution:

Bivariate normal distribution describes the joint probability distribution of two variables, say X and Y, that both obey the normal distribution. The bivariate normal is completely specified by 5 parameters:

mx, my are the mean values of variables X and Y, respectively;

sx, sy are the standard deviation s of variables X and Y;

rxy is the correlation coefficient between X and y.

An essential feature of the bivariate normal distribution is that zero correlation (r=0) necessarily means that X and Y are independent random variables .

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