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Tagged with conditional-independence normal-distribution
4
questions
4
votes
2
answers
114
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Cumulative distribution of Gaussian conditional independent random variables
Suppose X, Y, Z are three jointly Gaussian random variables and X and Z are independent given Y. For example, take three r.v. from a OU process. Here is some R code:...
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3
votes
1
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For normally distributed random variables, if X is independent of Y and X is independent of Z, is X independent of max(Y,Z)?
Suppose $X,Y,Z\sim N(0,\sigma^2)$. $X$ is independent of $Y,$ $X$ is independent of $Z$ (but $Y$ and $Z$ are not independent), is $X$ independent of $\max(Y,Z)$?
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4
votes
1
answer
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Joint distribution where random variables always exist in the same orthant
I am sampling two vectors $x$ and $y$ ($\in \mathbb{R}^n$). First, I sample $x$ from an isotropic Gaussian distribution. Then I want to sample $y$ from the same distribution, but only in the orthant ...
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1
vote
1
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R package to solve Gaussian MLE under conditional independence constraints
Is there any R package or function to solve Gaussian MLE under conditional independence constraints?
Suppose we have $y_i\overset{i.i.d}{\sim}\mathcal{N}(0,\Sigma_{p\times p})$, $i = 1,2,\ldots,n$. We ...
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