Here c = the .02 quantile for the sum of n Paretos: And we're doing 1 million simulations of each sum. Really 1 million; i.e. when n=5, we're actually generating 5 million Paretos altogether, 5 for each sum. n = 2 a = 0.5 c = 2.494083 n = 2 a = 0.6666667 c = 2.356310 n = 2 a = 1 c = 2.231495 n = 2 a = 1.5 c = 2.150049 n = 5 a = 0.5 c = 10.31598 n = 5 a = 0.6666667 c = 8.434906 n = 5 a = 1 c = 6.987409 n = 5 a = 1.5 c = 6.2152 n = 10 a = 0.5 c = 34.90957 n = 10 a = 0.6666667 c = 24.14963 n = 10 a = 1 c = 17.26878 n = 10 a = 1.5 c = 14.13275 n = 20 a = 0.5 c = 127.4944 n = 20 a = 0.6666667 c = 71.26244 n = 20 a = 1 c = 42.9005 n = 20 a = 1.5 c = 32.00586 n = 50 a = 0.5 c = 754.5102 n = 50 a = 0.6666667 c = 302.1186 n = 50 a = 1 c = 140.4697 n = 50 a = 1.5 c = 92.641 n = 100 a = 0.5 c = 2945.278 n = 100 a = 0.6666667 c = 895.4555 n = 100 a = 1 c = 338.0986 n = 100 a = 1.5 c = 203.0833