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Isn't there a confusion between min and max in this reply? The cdf of the max is the product of the cdfs, while the cdf of the min is the complement of the product of the complements of the cdfs, $(1-F)$.
@GeorgePapandreou: there is a typo in the reply. The actualisation should be$$v_N[t] = v_0[t] + \sum_{n=1}^N \ln \theta_n[t]$$not$$v_N[t] = v_0[t] - \sum_{n=1}^N \ln \theta_n[t]$$This confused a reader on Cross validated.
