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Mixtures of Gaussian distributions dense in distributions?
deleted 10 characters in body
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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
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Calculating $E[X^2Y^2]$ given $E[X^2]$, $E[Y^2]$, $E[X]$, $E[Y]$, and that $X$, $Y$ are Gaussian.
Jan
2
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Jan
2
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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.
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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...
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Calculating $E[X^2Y^2]$ given $E[X^2]$, $E[Y^2]$, $E[X]$, $E[Y]$, and that $X$, $Y$ are Gaussian.
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9
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9
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Mixtures of Gaussian distributions dense in distributions?
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