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In classic ER random graph, the edge distribution is Bernoulli. Given a weighted random graph where the edge weight is restricted in $[0,1]$, is there a canonical assumption of the weight distribution in researches? If so, it would be very helpful if you could also help provide some reference.

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    $\begingroup$ The short answer is: no. $\endgroup$
    – Igor Rivin
    Commented Jan 20, 2018 at 1:32

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