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Topic: conditional distribution (probability theory)
Replies: 1   Last Post: Jul 27, 1996 7:43 AM

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G. A. Edgar

Posts: 1,422
Registered: 12/6/04
conditional distribution (probability theory)
Posted: Jul 26, 1996 11:25 AM
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What are notations that have been used for conditional distribution
of a random variable $X$ given a $\sigma$-algebra $G$? Is there
something analogous to the notations
$P[A | G]$, $E[X | G]$, or $E^G[X]$ for conditional probability
and conditional expectation?

Or, for that matter, what notations have been used for the distribution (no
conditioning) of a random variable $X$? If $X$ is a real random variable,
we may use the cumulative distribution function, perhaps written $F_X$;
but what if $X$ is not real?
Gerald A. Edgar

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