'Random variables that are uncorrelated are not necessarily independent, since they can be dependent in non-linear ways' So does this mean that a linearly dependent random variables are necessarily correlated?
2026-04-02 03:35:09.1775100909
Are linearly dependent random variables necessarily correlated?
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Note that "dependent" in probability theory and linear algebra have quite different meanings. But as for your question, $X$ and $0$ are linearly dependent and uncorrelated.