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 = 2.497071 n = 2 a = 0.6666667 c = 2.359084 n = 2 a = 1 c = 2.230638 n = 2 a = 1.5 c = 2.149992 n = 5 a = 0.5 c = 10.31253 n = 5 a = 0.6666667 c = 8.438448 n = 5 a = 1 c = 6.993599 n = 5 a = 1.5 c = 6.213891 n = 10 a = 0.5 c = 34.92879 n = 10 a = 0.6666667 c = 24.11748 n = 10 a = 1 c = 17.28757 n = 10 a = 1.5 c = 14.13616 n = 20 a = 0.5 c = 127.6499 n = 20 a = 0.6666667 c = 71.28516 n = 20 a = 1 c = 42.90522 n = 20 a = 1.5 c = 32.03695 n = 50 a = 0.5 c = 753.4066 n = 50 a = 0.6666667 c = 302.1734 n = 50 a = 1 c = 140.5066 n = 50 a = 1.5 c = 92.61256 n = 100 a = 0.5 c = 2961.086 n = 100 a = 0.6666667 c = 897.169 n = 100 a = 1 c = 337.6624 n = 100 a = 1.5 c = 202.9919