Exchangeable random variables: Difference between revisions

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Properties: cannot be extended
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: and then solve the inequality for the covariance. Equality is achieved in a simple urn model: An urn contains 1 red marble and ''n''&nbsp;&minus;&nbsp;1 green marbles, and these are sampled without replacement until the urn is empty. Let ''X''<sub>''i''</sub>&nbsp;=&nbsp;1 if the red marble is drawn on the ''i''th trial and 0 otherwise.
 
: A finite sequence that achieves the lower covariance bound cannot be extended to a longer exchangeable sequence.
 
* For an infinite exchangeable sequence,