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We define $Z_i=\max\{X_i,X_i'\}$ where $X_i$ and $X_i'$ are i.i.d. random variables. We would like to know the generating function of $Z_i$ in terms of the generating function of $X_i$, which is known.

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    What do you mean by i.i.d.?2012-07-31
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    i.i.d. means 'independent identical distribution'2012-07-31

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