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a guest Jul 17th, 2019 55 Never
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  1. iid[k_] := TransformedDistribution[Abs[Sum[Exp[2 Pi I a[i]], {i, k}]],
  2. Table[Distributed[a[i], UniformDistribution], {i, k}]]
  3.      
  4. Plot[PDF[iid[5],x],{x,0,5}]
  5.      
  6. iid[k_] := TransformedDistribution[Norm[Sum[{Cos[a[i]], Sin[a[i]]}, {i, k}]],
  7. Table[Distributed[a[i], UniformDistribution], {i, k}]]
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