Here c = the .02 quantile for the sum of n Paretos: And we're doing 10 million simulations of each sum. Really 10 million; i.e. when n=5, we're actually generating 50 million Paretos altogether, 5 for each sum. n = 2 a = 0.5 c = 2.496115 n = 2 a = 0.6666667 c = 2.358823 n = 2 a = 1 c = 2.230448 n = 2 a = 1.5 c = 2.150354 n = 5 a = 0.5 c = 10.31565 n = 5 a = 0.6666667 c = 8.436402 n = 5 a = 1 c = 6.990643 n = 5 a = 1.5 c = 6.214022 n = 10 a = 0.5 c = 34.92293 n = 10 a = 0.6666667 c = 24.13690 n = 10 a = 1 c = 17.28116 n = 10 a = 1.5 c = 14.13334 n = 20 a = 0.5 c = 127.7820 n = 20 a = 0.6666667 c = 71.31824 n = 20 a = 1 c = 42.91715 n = 20 a = 1.5 c = 32.03024 n = 50 a = 0.5 c = 753.8506 n = 50 a = 0.6666667 c = 302.135 n = 50 a = 1 c = 140.4568 n = 50 a = 1.5 c = 92.63965 n = 100 a = 0.5 c = 2960.018 n = 100 a = 0.6666667 c = 896.6337 n = 100 a = 1 c = 337.7607 n = 100 a = 1.5 c = 203.0018