# Positive correlation

From Encyclopedia of Mathematics

Assuming finite variances, two random variables $X$ and $Y$ are positively correlated if $\mathbf{E}(XY) > \mathbf{E}X\,\mathbf{E}Y$, where $\mathbf{E}X$ denotes the mathematical expectation of $X$. In case the conditional mean of $X$ given $Y$ is linear in $Y$, positive correlation implies that this conditional mean is increasing in $Y$.

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Positive correlation.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Positive_correlation&oldid=41903