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.
Generating function
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combinatorics
stochastic-processes
generating-functions
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0What do you mean by i.i.d.? – 2012-07-31
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0i.i.d. means 'independent identical distribution' – 2012-07-31