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About: Uncorrelatedness (probability theory)     Goto   Sponge   NotDistinct   Permalink

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In probability theory and statistics, two real-valued random variables, , , are said to be uncorrelated if their covariance, , is zero. If two variables are uncorrelated, there is no linear relationship between them. Uncorrelated random variables have a Pearson correlation coefficient, when it exists, of zero, except in the trivial case when either variable has zero variance (is a constant). In this case the correlation is undefined. If and are independent, with finite second moments, then they are uncorrelated. However, not all uncorrelated variables are independent.