Exchangeable random variables: Difference between revisions

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This section distinguished fastidiously between the meaning of the capital X and that of the lower-case x UNTIL it came to this one line. Now it's consistent.
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In [[statistics]], an '''exchangeable sequence of random variables''' (also sometimes '''interchangeable''')<ref name="ChowTeicher"/> is a sequence ''X''<sub>1</sub>,&nbsp;''X''<sub>2</sub>,&nbsp;''X''<sub>3</sub>,&nbsp;... (which may be finitely or infinitely long) whose joint probability distribution does not change when the positions in the sequence in which finitely many of them appear isare altered. Thus, for example the sequences
 
: <math> X_1, X_2, X_3, X_4, X_5, X_6 \quad \text{ and } \quad X_3, X_6, X_1, X_5, X_2, X_4 </math>