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 May 24 awarded Notable Question Feb 15 awarded Popular Question Feb 15 revised Mixtures of Gaussian distributions dense in distributions? deleted 10 characters in body Feb 8 awarded Popular Question Jul 4 comment Calculating $E[X^2Y^2]$ given $E[X^2]$, $E[Y^2]$, $E[X]$, $E[Y]$, and that $X$, $Y$ are Gaussian. Thanks unknown. Yes, it was a mistake. And thanks Gjergji for the roll-back. Jul 4 revised Calculating $E[X^2Y^2]$ given $E[X^2]$, $E[Y^2]$, $E[X]$, $E[Y]$, and that $X$, $Y$ are Gaussian. deleted 410 characters in body; edited title Jan 2 accepted Calculating $E[X^2Y^2]$ given $E[X^2]$, $E[Y^2]$, $E[X]$, $E[Y]$, and that $X$, $Y$ are Gaussian. Jan 2 awarded Scholar Jan 2 comment Calculating $E[X^2Y^2]$ given $E[X^2]$, $E[Y^2]$, $E[X]$, $E[Y]$, and that $X$, $Y$ are Gaussian. Excellent! Thank you. In the paper I am reading, it does hold that vector (X,Y) is Gaussian, so that was a hidden assumption in my question. Jan 1 awarded Editor Jan 1 comment Calculating $E[X^2Y^2]$ given $E[X^2]$, $E[Y^2]$, $E[X]$, $E[Y]$, and that $X$, $Y$ are Gaussian. Thanks for the example Michael. I edited the question to add more conditions. Jan 1 revised Calculating $E[X^2Y^2]$ given $E[X^2]$, $E[Y^2]$, $E[X]$, $E[Y]$, and that $X$, $Y$ are Gaussian. added 111 characters in body; edited title Jan 1 comment Calculating $E[X^2Y^2]$ given $E[X^2]$, $E[Y^2]$, $E[X]$, $E[Y]$, and that $X$, $Y$ are Gaussian. Hmm... the variables $X$ and $Y$ are Gaussian, although I can't see this helping... Jan 1 asked Calculating $E[X^2Y^2]$ given $E[X^2]$, $E[Y^2]$, $E[X]$, $E[Y]$, and that $X$, $Y$ are Gaussian. Jun 9 awarded Student Jun 9 asked Mixtures of Gaussian distributions dense in distributions?