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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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How to combine two conditional CDFs
I am trying to reason about the following scenario:
Let us have three random variables: $X$, $Y$, $Z$. $Y$ is independent of $Z$. Let us also have the following CDF's:
$$F_X, F_{X \mid Y}, F_{X \mid Z}...